MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

The M.Sc. in Mathematics at Trento

Andrea Caranti

Dean ofMathematical Studies

Faculty of ScienceUniversità degli Studi di Trentohttp://science.unitn.it/∼caranti

Trento, 2010

http://science.unitn.it/~caranti

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

This presentation. . .

. . . is available at

http://science.unitn.it/∼caranti

Just Google Andrea Caranti and feel lucky.

http://science.unitn.it/~caranti

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

This presentation. . .

. . . is available at

http://science.unitn.it/∼caranti

Just Google Andrea Caranti and feel lucky.

http://science.unitn.it/~caranti

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

TOC

1 In a NutshellBasic InfoThe Department of Mathematics

2 The CurriculaIntroductionPure MathsComputational Maths, Cryptography, Coding TheoryMaths and BiologyMaths and Finance

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

TOC

1 In a NutshellBasic InfoThe Department of Mathematics

2 The CurriculaIntroductionPure MathsComputational Maths, Cryptography, Coding TheoryMaths and BiologyMaths and Finance

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Basic Info

• The M.Sc. in Mathematics at Trento is held entirely inEnglish.

• It lasts two years = 120 credits.• About 12 courses. Course size: 6/9/12 credits. (Plenty

of choices — see later)• 30 credits for thesis and internship.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Basic Info

• The M.Sc. in Mathematics at Trento is held entirely inEnglish.

• It lasts two years = 120 credits.• About 12 courses. Course size: 6/9/12 credits. (Plenty

of choices — see later)• 30 credits for thesis and internship.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Basic Info

• The M.Sc. in Mathematics at Trento is held entirely inEnglish.

• It lasts two years = 120 credits.• About 12 courses. Course size: 6/9/12 credits. (Plenty

of choices — see later)• 30 credits for thesis and internship.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Basic Info

• The M.Sc. in Mathematics at Trento is held entirely inEnglish.

• It lasts two years = 120 credits.• About 12 courses. Course size: 6/9/12 credits. (Plenty

of choices — see later)• 30 credits for thesis and internship.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Basic Info

• The M.Sc. in Mathematics at Trento is held entirely inEnglish.

• It lasts two years = 120 credits.• About 12 courses. Course size: 6/9/12 credits. (Plenty

of choices — see later)• 30 credits for thesis and internship.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Basic Info

• The M.Sc. in Mathematics at Trento is held entirely inEnglish.

• It lasts two years = 120 credits.• About 12 courses. Course size: 6/9/12 credits. (Plenty

of choices — see later)• 30 credits for thesis and internship.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

TOC

1 In a NutshellBasic InfoThe Department of Mathematics

2 The CurriculaIntroductionPure MathsComputational Maths, Cryptography, Coding TheoryMaths and BiologyMaths and Finance

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

The People behind the M.Sc.

• The M.Sc. is supported by a strong Department ofMathematics, comprising 35-odd people.

• The main fields of Maths are well covered. (Algebra,Geometry, Analysis, Probability and Statistics, Logic,Mathematical Physics, Numerical Analysis.)

• There is a widespread interest in real-word applicationsof Maths. (See later.)

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

The People behind the M.Sc.

• The M.Sc. is supported by a strong Department ofMathematics, comprising 35-odd people.

• The main fields of Maths are well covered. (Algebra,Geometry, Analysis, Probability and Statistics, Logic,Mathematical Physics, Numerical Analysis.)

• There is a widespread interest in real-word applicationsof Maths. (See later.)

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

The People behind the M.Sc.

• The M.Sc. is supported by a strong Department ofMathematics, comprising 35-odd people.

• The main fields of Maths are well covered. (Algebra,Geometry, Analysis, Probability and Statistics, Logic,Mathematical Physics, Numerical Analysis.)

• There is a widespread interest in real-word applicationsof Maths. (See later.)

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

The People behind the M.Sc.

• The M.Sc. is supported by a strong Department ofMathematics, comprising 35-odd people.

• The main fields of Maths are well covered. (Algebra,Geometry, Analysis, Probability and Statistics, Logic,Mathematical Physics, Numerical Analysis.)

• There is a widespread interest in real-word applicationsof Maths. (See later.)

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

The People behind the M.Sc.

• The M.Sc. is supported by a strong Department ofMathematics, comprising 35-odd people.

• The main fields of Maths are well covered. (Algebra,Geometry, Analysis, Probability and Statistics, Logic,Mathematical Physics, Numerical Analysis.)

• There is a widespread interest in real-word applicationsof Maths. (See later.)

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

TOC

1 In a NutshellBasic InfoThe Department of Mathematics

2 The CurriculaIntroductionPure MathsComputational Maths, Cryptography, Coding TheoryMaths and BiologyMaths and Finance

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Introduction

• Several curricula are available.• According to the curriculum, students are encouraged

to take courses not only in Maths, but also in• Physics• Computer Science• Telecommunications• Economics, Finance• Biology• . . .

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Introduction

• Several curricula are available.• According to the curriculum, students are encouraged

to take courses not only in Maths, but also in• Physics• Computer Science• Telecommunications• Economics, Finance• Biology• . . .

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Introduction

• Several curricula are available.• According to the curriculum, students are encouraged

to take courses not only in Maths, but also in• Physics• Computer Science• Telecommunications• Economics, Finance• Biology• . . .

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Introduction

• Several curricula are available.• According to the curriculum, students are encouraged

to take courses not only in Maths, but also in• Physics• Computer Science• Telecommunications• Economics, Finance• Biology• . . .

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Introduction

• Several curricula are available.• According to the curriculum, students are encouraged

to take courses not only in Maths, but also in• Physics• Computer Science• Telecommunications• Economics, Finance• Biology• . . .

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Introduction

• Several curricula are available.• According to the curriculum, students are encouraged

to take courses not only in Maths, but also in• Physics• Computer Science• Telecommunications• Economics, Finance• Biology• . . .

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Introduction

• Several curricula are available.• According to the curriculum, students are encouraged

to take courses not only in Maths, but also in• Physics• Computer Science• Telecommunications• Economics, Finance• Biology• . . .

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Introduction

• Several curricula are available.• According to the curriculum, students are encouraged

to take courses not only in Maths, but also in• Physics• Computer Science• Telecommunications• Economics, Finance• Biology• . . .

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

TOC

1 In a NutshellBasic InfoThe Department of Mathematics

2 The CurriculaIntroductionPure MathsComputational Maths, Cryptography, Coding TheoryMaths and BiologyMaths and Finance

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Pure Mathematics

• Of course we offer a curriculum in Pure Mathematics!• This may be followed by a PhD in Trento or elsewhere.• Several of our former students now hold academic

positions in Italy and abroad.• The final thesis strives for at least some original

contribution. Some titles of recent theses:• The isoperimetric problem in the Minkowski plane.• Tropical geometry.• The Jacobian conjecture.• The minimal model program.• . . .

• Sample courses:• Advanced Analysis• Advanced Geometry• Computational Algebra• Stochastic Processes• Numerical Analysis of PDE• Mathematical Physics

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

TOC

1 In a NutshellBasic InfoThe Department of Mathematics

2 The CurriculaIntroductionPure MathsComputational Maths, Cryptography, Coding TheoryMaths and BiologyMaths and Finance

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Computational Mathematics, Cryptography,Coding Theory

• It comprises courses covering• Methods of modern computational mathematics.• Public-key and symmetric cryptography.• The theory and practice of error-correcting codes.• Discrete Fourier Analysis.• Digital signal processing.• Multimedia signal processing and communication.• Data hiding.

• Internships at leading companies in the field areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Computational Mathematics, Cryptography,Coding Theory

• It comprises courses covering• Methods of modern computational mathematics.• Public-key and symmetric cryptography.• The theory and practice of error-correcting codes.• Discrete Fourier Analysis.• Digital signal processing.• Multimedia signal processing and communication.• Data hiding.

• Internships at leading companies in the field areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Computational Mathematics, Cryptography,Coding Theory

• It comprises courses covering• Methods of modern computational mathematics.• Public-key and symmetric cryptography.• The theory and practice of error-correcting codes.• Discrete Fourier Analysis.• Digital signal processing.• Multimedia signal processing and communication.• Data hiding.

• Internships at leading companies in the field areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Computational Mathematics, Cryptography,Coding Theory

• It comprises courses covering• Methods of modern computational mathematics.• Public-key and symmetric cryptography.• The theory and practice of error-correcting codes.• Discrete Fourier Analysis.• Digital signal processing.• Multimedia signal processing and communication.• Data hiding.

• Internships at leading companies in the field areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Computational Mathematics, Cryptography,Coding Theory

• It comprises courses covering• Methods of modern computational mathematics.• Public-key and symmetric cryptography.• The theory and practice of error-correcting codes.• Discrete Fourier Analysis.• Digital signal processing.• Multimedia signal processing and communication.• Data hiding.

• Internships at leading companies in the field areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Computational Mathematics, Cryptography,Coding Theory

• It comprises courses covering• Methods of modern computational mathematics.• Public-key and symmetric cryptography.• The theory and practice of error-correcting codes.• Discrete Fourier Analysis.• Digital signal processing.• Multimedia signal processing and communication.• Data hiding.

• Internships at leading companies in the field areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Computational Mathematics, Cryptography,Coding Theory

• It comprises courses covering• Methods of modern computational mathematics.• Public-key and symmetric cryptography.• The theory and practice of error-correcting codes.• Discrete Fourier Analysis.• Digital signal processing.• Multimedia signal processing and communication.• Data hiding.

• Internships at leading companies in the field areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Computational Mathematics, Cryptography,Coding Theory

• It comprises courses covering• Methods of modern computational mathematics.• Public-key and symmetric cryptography.• The theory and practice of error-correcting codes.• Discrete Fourier Analysis.• Digital signal processing.• Multimedia signal processing and communication.• Data hiding.

• Internships at leading companies in the field areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Computational Mathematics, Cryptography,Coding Theory

• It comprises courses covering• Methods of modern computational mathematics.• Public-key and symmetric cryptography.• The theory and practice of error-correcting codes.• Discrete Fourier Analysis.• Digital signal processing.• Multimedia signal processing and communication.• Data hiding.

• Internships at leading companies in the field areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

TOC

1 In a NutshellBasic InfoThe Department of Mathematics

2 The CurriculaIntroductionPure MathsComputational Maths, Cryptography, Coding TheoryMaths and BiologyMaths and Finance

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics and Biology

• This curriculum builds on the expertise of the researchgroup in applications of Mathematics to Biology andMedicine within the Department.

• It covers among others the mathematical modelling ofepidemics, vaccinal strategies, etc.

• Some courses on offer:• Biomathematics• Data analysis and exploration• Biology• Simulation of biological systems• Advanced topics in biomathematics• Data mining for biological data• Machine learning

• Internships at public institutions and private companiesare available.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

TOC

1 In a NutshellBasic InfoThe Department of Mathematics

2 The CurriculaIntroductionPure MathsComputational Maths, Cryptography, Coding TheoryMaths and BiologyMaths and Finance

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

MSc in Mathsat Trento

Caranti

In a NutshellBasic Info

The Department ofMathematics

The CurriculaIntroduction

Pure Maths

ComputationalMaths, Cryptography,Coding Theory

Maths and Biology

Maths and Finance

Mathematics for Economics and Finance

• Builds on the experience within the Department ofMathematics on the Mathematics of financial methods,such as options pricing.

• External experts bring first-hand expertise on practicalapplications.

• Sample courses:• Integral Transforms• Stochastic Processes• Statistics of Stochastic Processes• Data analysis and exploration• Stochastic Differential Equations• Mathematical Finance• Numerical Methods for Finance• Basic Economics

• Internships, typically at research centres of banks, areavailable.

In a NutshellBasic InfoThe Department of Mathematics

The CurriculaIntroductionPure MathsComputational Maths, Cryptography, Coding TheoryMaths and BiologyMaths and Finance