SWAROOP NANDAN BORA

DEPARTMENT OF MATHEMATICS, IIT GUWAHATI

swaroop@iitg.ernet.in

TEACHERS’ TRAINING CAMPTEACHERS’ TRAINING CAMPTEACHERS’ TRAINING CAMPTEACHERS’ TRAINING CAMPIIT GUWAHATI, IIT GUWAHATI, IIT GUWAHATI, IIT GUWAHATI, JULY 1, JULY 1, JULY 1, JULY 1, 2016201620162016

INSTITUTES

Indian Institutes of TechnologyIndian Institutes of TechnologyIndian Institutes of TechnologyIndian Institutes of Technology

� Kharagpur, Mumbai, Kanpur, Madras, Delhi,

Guwahati, Roorkee*, BHU (Varanasi)*,

Patna, Bhubaneswar, Hyderabad, Ropar,

Gandhinagar, Jodhpur, Mandi, Indore,Gandhinagar, Jodhpur, Mandi, Indore,

� New ones: Tirupati, Palakkad, dharwad,

goa, jammu, bhillai

IIT Guwahati

www.iitg.ernet.in (1994)

B.Tech. Programme� 8-semester B.Tech. in Mathematics and Computing.

� Entry through JEE (Advanced)

� Intake: 48 (likely to go up soon)

Programme consists of courses in core mathematics, � Programme consists of courses in core mathematics, computer science, finance

� Career in research and jobs in IT, Finance and Academics

M.Sc. Programme� 2-year M.Sc. In Mathematics and Computing

� Entry for Bachelor degree holder through JAM

� Intake: 48 (Likely to go up soon)

Courses in computer science in addition to all relevant � Courses in computer science in addition to all relevant Mathematics courses

� New programmes are likely to begin from 2017

� Graduates mainly go for higher studies

� Some go for jobs in IT and finance sectors

� PhD Programe:

� Procedure: Written Test, Interview, Selection, Course Work, Comprehensive exam, SOAS, ……..

� Qualification: M.Sc./M.Tech./B.Tech. with 60% or 6.5 CPI

with GATE/CSIR-JRF/NBHM/INSPIRE/OTHERS (Regular Category)

or,

� sponsored full-time/part-time, self-sponsored full-time

� Written Test/Interview: Usually in June first half (for July admission) and in December first week (For December admission)

� Advertisement: March/April (for July admission), October (For December admission)

Areas of SpecializationGraph theory, differential equations, numerical analysis, fluid dynamics, topological fluid

dynamics, computational fluid dynamics, functional analysis, operator theory, linear algebra, ,

general algebra, mathematical biology, random graph, harmonic analysis, matrices, complex

analysis, fractals, number theory, algebraic geometry, numerical linear algebra, low-

dimensional topology, algebraic combinatorics, dimensional topology, algebraic combinatorics,

Mathematical finance, optimal control theory, distributions models and its applications,

survival analysis, probability, random graphs, queueing theory, stochastic modelling,

operations research

Computational Geometry, Approximation Algorithms, Wireless Networks, Quantum

Computing, Complexity Theory, Combinatorics, Algorithms, Programming, Theoretical

Computer Science, Wireless Sensor Networks, Distributed Computing, Formal Languages and

Automata Theory, Membrane Computing

Other IITs� All older IITs offer integrated M.Sc. / M.Tech. or

B.Tech.

� Again entry through JEE (Advanced)

� 16 IITs also offer 2-year M.Sc. Programmes (through � 16 IITs also offer 2-year M.Sc. Programmes (through JAM)

� 16 IITs also offer PhD programmes

� Selection process is more or less same in these institutes.

INDIA INSTITUTE OF SCIENCE

(IISc), BANGALORE (1909)

www.iisc.ernet.in

Bachelor of Science� Bachelor of Science (Research) Programme

� Eligibility

KVPY-SA, KVPY-SB, KVPY-SXKVPY Fellows selected through the Empowerment KVPY Fellows selected through the Empowerment Initiative for SC/ST candidates.IIT-JEE (Main)IIT-JEE (Advanced)AIPMT

� Intake: 120

Graduate Programme� Integrated PhD (through JAM)

PhD: Eligibility

Master’s degree in Mathematical Sciences, Physical Master’s degree in Mathematical Sciences, Physical

Sciences or BE / B Tech or equivalent degree in any

discipline.

Must have CSIR-JRF/GATE/INSPIRE

INDIA STATISTICAL INSTITUTE (ISI)

(1931)

Kolkata � http://www.isical.ac.in

Delhi � http://www.isid.ac.in

Bangalore � http://www.isibang.ac.in

Chennai � http://www.isichennai.res.in (Mainly for PDF)

� The main campus at Kolkata offers B.Stat., M.Stat. and Ph.D.

� Bangalore campus offers 3-year B.Math and 2-year M.Math.M.Math.

� Delhi centre offers only PhD.

� Eligibility for B.Stat and B.Math:

10+2 with Mathematics and English

Entrance test followed by Interview

No fees, additionally stipend and contingency money

The Indian Statistical Institute is one of the first Institutes of National Importance in

India, and provides a peerless research environment at its Kolkata, Delhi and Bangalore

campuses.

Ph.D. Programmes in the following disciplines:

•Mathematics

•Statistics

•Computer Science

•Physics and Applied Mathematics

Programme starts: July 1, 2016

On-line Application Starts 09 February 2016, On-line Application Ends 11 March 2016,

ISI Admission Test 08 May 2016

Eligibility: A good academic record with a Master's in a relevant discipline.

A few of the programmes such as Computer Science have interdisciplinary

intake, and also may consider outstanding candidates with B.E./B.Tech.

degrees from premier institutes.

Admission: Based on performance in written tests and interview conductedby ISI.

Fellowships: Selected applicants will be awarded research fellowships.

A special fellowship is awarded to an outstanding candidate in each of the following subjects:(i) Statistics,

(ii) Mathematics,

(iii) Computer Science,

(iv) Quantitative Economics and

(v) Quality, Reliability and Operations Research.

Harish-Chandra Research Institute

(HRI), Allahabad (1965)

http://www.hri.res.in

The primary areas of focus in Mathematics:

Algebra, Analysis, Geometry and Number Theory; and Astrophysics,

Condensed Matter, Particle Physics, Quantum Information and String Theory

in Physics.

• The institute runs a PhD programme in both Mathematics and Theoretical

Physics for both post MSc and post BSc students.

The institute also has a visiting students' programme for bachelors and• The institute also has a visiting students' programme for bachelors and

masters students; and actively runs various outreach programmes.

Admission in Mathematics

HRI conducts a regular Ph.D. as well as an integrated M.Sc.-Ph.D. program in

mathematics. Students are selected through NBHM research fellowship

together with an interview. However, successful CSIR Research Fellowship

holders are also eligible for appearing the interview.

Tata Institute of Fundamental

Research (TIFR) (1945)http://www.tifr.res.in

(Mumbai)(Mumbai)

http://www.math.tifrbng.res.in(Centre for Applicable Mathematics, Bangalore)

Tata Institute of Fundamental Research

(TIFR) Mumbai

The emphasis at TIFR is on research. Teaching is voluntary.

AREAS OF RESEARCH: Algebraic geometry, Number theory, Lie theory, Ergodic theory,

Algebra, Topology and Combinatorics.

TIFR runs a PhD program, and an active program for Visitors (including Postdoctoral TIFR runs a PhD program, and an active program for Visitors (including Postdoctoral

visitors)

Admission process (for graduate students/Ph.D. students): Written test (which is used

to make a short list), Interview for short-listed candidates (at TIFR)

Eligibility: Minimum requirement is a Bachelor’s degree in math./ stat. /science / tech.

Students without Master’s degree in mathematics are encouraged to obtain one along

the way to a Ph.D. Selected candidates receive a stipend and contingency grant during

their study.

TIFR Centre for Applicable Mathematics,

BangaloreDegree offered: Integrated M.Sc.-Ph.D.

Research at advanced level in both theoretical and numerical aspects of

differential equations, especially in the following topics:

1. Applications of Nonlinear Functional Analysis in the Study of Differential

Equations.

2. Control Aspects of Partial Differential Equations.

3. Hyperbolic Equations and Conservation Laws.

4. Homogenization and Solid Fluid Interactions.

5. Numerical Analysis of PDE (Special Reference to Atmospheric Dynamics).

6. Microlocal Analysis

Institute of Mathematical Sciences (IMSc), Chennai (1962)IMSc offers PhD and integrated PhD programmes in Mathematics.IMSc offers PhD and integrated PhD programmes in Mathematics.

Qualification:

1. Applicants for the PhD programme should have completed a Masters degree in Mathematics or Statistics by the time they actually join the programme.

2. Applicants for the integrated PhD programme should have completed a Bachelors degree in Mathematics or Statistics by the time they actually join the programme.

3. Exceptional candidates with a Bachelors or Masters degree in other fields are also considered for admission to the integrated PhD programme.

How to apply

1. Candidates aspiring for admission to the IMSc Ph.D/Integ. Ph.D programmes in

Mathematics must appear for the National Board for Higher Mathematics (NBHM)

Ph.D scholarships Screening Test.

2. The IMSc academic year starts in the month of August. To apply for August of a given

year, candidates must write the NBHM exam held in January of that year.

3. Candidates must apply directly to the NBHM in order to write the screening test.

They need not send a separate application to IMSc.They need not send a separate application to IMSc.

4. IMSc (and also HRI) will get the test scores and copies of the applications directly

from the NBHM and will independently send interview call letters to candidates who

have passed their screening criteria. Interviews are held in March/April.

5. Final selection of candidates is based on their performance in the interview.

Chennai Mathematical Institutehttp://www.cmi.ac.in/ (1989)

Chennai Mathematical Institute

Bachelor degree

(1) B.Sc. (hons.) in Mathematics and Computer Science

(3-year integrated programme)

(2) B.Sc. (hons.) in Mathematics and Physics(2) B.Sc. (hons.) in Mathematics and Physics

(3-year integrated programme)

• Entrance test held at various places including Guwahati

• Interview may follow

• No fees, additional scholarship

Chennai Mathematical InstituteMaster’s programme:

� M.Sc. In Mathematics

� M.Sc. In Applications of Mathematics

Entrance test� Entrance test

� Interview may follow

� No fees, additional scholarship

PhD Programme

1. CMI has an active PhD programme in Mathematics and Computer

Science.

2. CMI also has a option for students to pursue a part-time PhD at the

Institute.

3. The institute has close ties with the Institute of Mathematical

Sciences, Chennai. It is also possible for students to pursue research

work with faculty at either institute.

Admission procedure

Candidates are selected on the basis of an entrance examination held

during May in various centres across the country, followed by an

interview held in Chennai. Admission forms are normally distributed in

early March: look for advertisements and announcements onearly March: look for advertisements and announcements on

the Admissions webpage. The academic programme usually begins in

August.

The normal qualifications are MSc (for Mathematics and Physics) and

MTech/ME (for Computer Science). Exceptional candidates with

qualifications such as BSc/BTech/BE are also considered.

IISER, NISER

� Indian Institutes of Science Education and

Research (IISER)

Kolkata (2006), Pune (2006), Mohali(2007), Bhopal

(2008), Trivandrum (2008), Berhampore (2016),

Tirupati (2016)

� National Institute of Science Education and Research (NISER) Bhubaneswar (2007)

Admission requirementBS-MS dual degree

� Three channels of admission. Candidates will be admitted to IISER only through these channels.

� Kishore Vaigyanik Protsahan Yojana (KVPY) channel� Kishore Vaigyanik Protsahan Yojana (KVPY) channel

� Joint Entrance Examination of Indian Institutes of Technology (IIT–JEE) channel (upto rank 10000)

� State and Central Boards Channel (SCB) channel

IISER Kolkatahttp://www.iiserkol.ac.in

The Doctor of Philosophy (PhD) programme is an introduction to cutting-

edge research.

Department selects deserving candidates from the pool of applicants based on

their academic backgrounds, research interests and their performance in the

selection test (often an interview).

The selection is conducted twice a year (advertisement goes public tentatively in

the months of March and September).

The applicants who have their own fellowships (such as, UGC/CSIR-NET,

INSPIRE etc) may apply at any time of the year.

The Institute reserves the provision of offering rolling admission to these

candidates. The candidates who do not have their own fellowship must apply

through the bi-annual selection process.

Eligibility: Master’s degree

Selection: Twice a year

Research Areas: Functional Analysis, Partial Differential Equations,

Differential Inclusions, Calculus of Variations, Spectral Graph Theory,

Computational neuroscience, Several complex variable, Operator

Theory, Linear and Nonlinear Partial Differential Equations

National Institute of Science Education and Research (NISER, Bhubaneswar)

http://www.niser.ac.in/

Programmes� 5-year Integrated M.Sc.

� Integrated M.Sc.-Ph.D

� PhD

For Integrated M.Sc. it is mandatory to write National � For Integrated M.Sc. it is mandatory to write National Entrance Screening Test (NEST) which is usually held in May end.

AGENCIESAGENCIES

Department of Science and Technology (DST)

•DST has numerous programmes to promote science;

details are found on their website http://www.dst.gov.in/.

•Most of their funding is through project grants.

•One of them is to provide project grants to women

scientists (post Masters and post Ph.D), who had a break

in their career. The age limits are ≤ 35 years/≤ 50 years,

respectively.

National Board for Higher Mathematics (NBHM) http://www.nbhm.dae.gov.in/

NBHM financially supports research projects, scholarships for M.Sc. and Ph.D. programme. It

funds various activities to further train students, undergraduates, post-graduates, teachers,

doctorates and post-doctorates etc.

ATM - Advanced training in mathematics

This is a program of advanced level Schools in mathemetics.

ATM schools have lecture courses in the inter-related areas of algebra, analysis , PDE, discrete

mathematics, geometry, number theory and topology.

This integrated training programme aims to provide basic and advanced knowledge in these

areas, and emphasize their interconnections via series of instructional schools.

The types of ATM Schools are:

AFS I, II - Annual foundational schools: for Ist year Ph.D. students.

AIS - Advanced Instructional schools: for more advanced Ph.D.

students ATMWC - workshop and conference for Researchers.

ATML - ATM schools for college and university

lecturers

� There are 25 to 30 thousand teachers engaged in teaching mathematics

to undergraduates and post graduates.

� A big bulk of researchers takes their first lessons in higher

mathematics from these teachers.

� To make mathematics look a fascinating rather than a dry subject, it is � To make mathematics look a fascinating rather than a dry subject, it is

crucial that: the teachers should have a thorough command over the

branches of mathematics, at the undergraduate and post graduate

level, along with their subtle points.

� ATML is meant to give such overall training to teachers.

This is a 1 month or a 2 weeks long programme dedicated to two or one subjects,

respectively. The courses emphasize connections between different fields of

mathematics. These are held during summer and winter breaks. Lecture notes and

problem sets are distributed. Available free software, information available on the

internet etc. is made known to them.

Eligibility: Should have cleared NET/SET or an equivalent examination.

Preferably below 30 years, Permanent lecturers in a College/University.

Preference for those who are involved in Math. Olympiad etc.

Acknowledgement� Aarohan Nandan Bora, my Eleven-year old son

� Santanu Majumdar, Technical Superintendent