IST - Analysis and PDE (2019)

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Venue: Indian Institute of Science,  Bangalore, Karnataka
Date:  6th, May 2019 to 18th, May 2019

 

School Convener(s)

Name Thirupathi Gudi R. Venkatesh
Mailing Address Associate Professor
Department of Mathematics.
Indian Institute of Science
Bangalore 560012
Assistant Professor
Department of Mathematics
Indian Institute of Science
Bangalore 560012

 

 


Name of tutors  with their affiliations:

S. No.

Name

Designation

Affiliation

1.

R. Venkatesh

Assistant Professor

Mathematics, IISc Bangalore

2.

Manjunath Krishnapur

Associate Professor

Mathematics, IISc Bangalore

3.

Tirthankar Bhattacharya

Professor

Mathematics, IISc Bangalore

4.

A. K. Nandakumaran

Professor

Mathematics, IISc Bangalore

5.

G.V.K. Teja

PhD Fellow

Mathematics, IISc Bangalore

6.

Subhajit Ghosh

PhD Fellow

Mathematics, IISc Bangalore

7.

Lakshmi Priya M.E.

PhD Fellow

Mathematics, IISc Bangalore

8.

Poornendu Kumar

PhD Fellow

Mathematics, IISc Bangalore

9.

Shubham Rastogi

PhD Fellow

Mathematics, IISc Bangalore

10

Nimisha Pahuja

PhD Fellow

Mathematics, IISc Bangalore

11.

Abu Sufian

PhD Fellow

Mathematics, IISc Bangalore

12.

S. Ayyappan

Post-Doc

TIFR CAM Bangalore

13.

Renjith. T

PhD Fellow

Mathematics, IISc Bangalore

 


 Syllabus:

Name of the
Speaker with affiliation

 No. of Lectures

Detailed Syllabus

R. Venkatesh

Dept. Math.

IISc, Bangalore

6

Finite dimensional spectral theory. Inner product spaces, Orthonormal sets. Spectral theorem for the Hermitian and normal operators on finite dimensional inner product spaces.

Manjunath Krishnapur

Dept. Math.

IISc, Bangalore

6

Lebesgue measure and integration. Construction of Lebesgue measure, Measurable functions, Lebesgue integration, convergence theorems and Lp-spaces.

Tirthankar Bhattacharyya

Dept. Math.

IISc, Bangalore

6

Spectral theory for compact self-adjoint operators. Hilbert spaces, Bounded and compact operators on a Hilbert space. Spectrum of a compact operators and the spectral theorem for compact self-adjoint operators.

A. K. Nandakumaran

Dept. Math.IISc, Bangalore

6

Partial Differential Equations. First order PDE-Method of characteristics-Elliptic PDE, in particular Laplacian, fundamental solution, Green’s functions, Mean value theorem, maximum principle, regularity.

 


 Time Table

Day

Date

Lecture 1

(9.30
to
11.00)

Tea

(11.00
to
11.30)

Lecturer 2

(11.30
to
1.00)

Lunch

(1.00
to
2.30)

Tutorial 1

(2.30
to
3.30)

Tea

(3.30
to
4.00)

Tutorial 2

(4.00 
to
5.00)

Snacks

(5.00
to
5.30)

 

 

(name of the speaker)

 

(name of the speaker)

 

(name of the speaker/tutor)

 

(name of the speaker/tutor

 

Mon

06/05/ 2019

RV

Tea

MK

Lunch

    RV/T12

Tea

MK/T34

Snacks

Tues

07/05/ 2019

RV

Tea

MK

Lunch

RV/T12

Tea

MK/T34

Snacks

Wed

08/05/ 2019

RV

Tea

MK

Lunch

RV/T12

Tea

MK/T34

Snacks

Thu

09/05/ 2019

RV

Tea

MK

Lunch

RV/T12

Tea

MK/T34

Snacks

Fri

10/05/ 2019

RV

Tea

MK

Lunch

RV/T12

Tea

MK/T34

Snacks

Sat

11/05/ 2019

RV

Tea

MK

Lunch

RV/T12

Tea

MK/T34

Snacks

SUNDAY

Mon

13/05/ 2019

TB

Tea

AN

Lunch

TB/T56

Tea

AN/T78

Snacks

 

Tues

14/05/ 2019

TB

Tea

AN

Lunch

TB/T56

Tea

AN/T78

Snacks

 

Wed

15/05/ 2019

TB

Tea

AN

Lunch

TB/T56

Tea

AN/T78

Snacks

 

Thu

16/05/ 2019

TB

Tea

AN

Lunch

TB/T56

Tea

AN/T78

Snacks

 

Fri

17/05/ 2019

TB

Tea

AN

Lunch

TB/T56

Tea

AN/T78

Snacks

 

Sat

18/05/ 2019

TB

Tea

AN

Lunch

TB/T56

Tea

AN/T78

Snacks

 

 

RV: R. Venkatesh, MK: Manjunath Krishnapur, TB: Tirthankar Bhattacharyya, AN: A.K. Nandakumaran. T12: G.V.K. Teja & Nimisha Pahuja, T34: Lakshmi Priya M.E. & Subhajit Ghosh, T56: Poornendu Kumar & Shubham Rastogi, T78: Abu Sufian, S. Aiyyappan & Renjith. T.


List of actual Participants

Outstaion Participants
Sr.n SID Full Name Gender Affiliation Position in College/ University University/Institute M.Sc. / M.A. Year of Passing M.Sc./ M.A Ph.D. Deg
1 24088 Dr Kiran Virivinti Male University College of Science Asst. Prof. osmania 2002 31/05/2016
2 24116 Dr. R. Subash Moorthy Male Amrita Vishwa Vidyapeetham (Deemed to be university) Asst. Prof. The American College (Madurai Kamaraj University) 2006 22/11/2014
3 24117 Prof. Sathiyaseelan D Male Coimbatore Institute of Engineering and Technology Asst. Prof. Bharathidasan University/Department of Mathematics 2009 29/12/2018
4 24119 Dr. Easwaramoorthy D. Male Vellore Institute of Technology Asst. Prof. Bharathidasan University, Tiruchirappalli - M.Sc. 2008 11/10/2013
5 24159 Mr. Bhargava K Male Mangalore University Asst. Prof. Mangalore University 2011  
6 24187 Dr. Jitendra Kumar Singh Male Vijayanagara Sri Krishnadevaraya University, Bellary Asst. Prof. Deen Dayal Upadhyay Gorakhpur University, Gorakhpur 2004 08/10/2012
7 24188 Dr. Gowrisankar A Male Vellore Institute of Technology Asst. Prof. The Gandhigram Rural Institute 2012 14/03/2017
8 24202 Dr. Rumpa Chakraborty Female Diamond Harbour Womens University Asst. Prof. Jadavpur University, West Bengal, M.Sc. 2008 13/02/2015
9 24213 Dr. Manimaran A Male Vellore Institute of Technology Asst. Prof. Government Arts College, Salem - 7 2007 21/04/2017
10 24223 Dr Sandeep Pandurang Bhairat Male  UDCT Mumbai Asst. Prof. M Sc (Applied Mathematics) 2014 15/05/2018
11 24283 Dr. P. Bala Anki Reddy Male Vellore Institute of Technology Asst. Prof. (Senior) S.V.D.C., Sri Venkateswara University 2003 07/10/2010
12 24287 Mr. Vishalsingh Sarjeetsingh Chauhan Male Deogiri Institute of Engineering and Management Studies,
Station Road, Aurangabad
Asst. Prof. University of Pune 2007  
13 24329 Dr Praveen T Male Vellore Institute of Technology (VIT) Asst. Prof The Madura College 2011 14/12/2016
14 24365 Dr Suvinthra Murugan Female Bharathiar University Asst. Prof. Bharathiar University 2012 13/10/2016
15 24372 Dr Nithyadevi Nagarajan Female Bharathiar University Asst. Prof. Bharathiar university 2002 04/07/2007
16 24445 Dr. Madhusmita Tripathy Female Andhra University Asst. Prof. MA (Utkal University) 2001 12/06/2009
17 24583 Dr. Shiju George Male Government Brennan College, Dharmadam Asst. Prof. Mangalore University 2006 30/03/2012
18 24748 Mr. Ramdas Vaijinath Madan Male Moreshor mahavidyalay Bhokardan , Jalna. Asst. Prof. SRTMU Nanded Maharashtra 2014  
19 24767 Mr. Channabasavayya Hiremath Male University College of Science Faculty in Mathematics Central University of Karnataka 2017  
20 24949 Dr Maria Joseph Male St. joseph's College Trichy Asst. Prof. Bharathidasan university 2003 25/03/2013
21 24962 Mrs Sundara Lakshmi Ganduri Female Godavari Institute of Engineering and Technology Lecturer Osmania University (M.Sc in distance mode) 2003  
22 24719 Mr Venkata Yadaiah Male PG Centre Asst. Prof. (contract) Kakatiya University 2001  
23 25050 Ms. Nithiya K. S. Female MOP Vaishnav college for women Asst. Prof. Seethalakshmi Ramasamy College 2009  
24 24217 Ms. Shreya Goyal Female Roorkee Institute of Technology, Roorkee Lecturer Department Of Mathematics, Panjab University, Chandigarh 2018  
25 24245 Dr. Kaushal Bharat Patel Male Veer Narmad South Gujarat University, Surat Asst. Prof. The M.S. University, Baroda 2003 07/03/2009
26 24353 Mr Muniyasamy S Male Thiyagi Dharmakkan Amirtham College Of Arts & Science Asst. Prof. Alagappa University/ Syed Hameedha Arts And Science College., Kilakarai 2017  
27 24264 Ms Arokiamary S Female Mother Gnanamma Women's College of Arts and Science Asst. Prof. Bangalore University 2004  
 Local   Participants (Without Accommodation)
28 24169 Dr. Chandra Shekara G Male BMS College of Engineering Assistant Professor Bangalore University- M.Sc 2008 14/02/2013
29 24892 Mr. Vishesh Bhat Male CHRIST (Deemed to be University) PhD Student Bangalore University 2012  
30 25002 Ms Lavanya E Female Acharya Institute Of Graduate Studies Assistant Professor M.Sc Mathematics 2008  
31 25052 Mrs Deepika Garg Female indian institute of science student Punjabi University Patiala Punjab 2009  
32   Mr. Vishnu. N Male IISER-Pune        
33   Ms. Indulekha. M. S. Female ISER, Thiruvananthapuram        
34   Mr. Manav Gadam Male Indian Institute of Science        
35   Ms. Sradha. R. Bhat Female IISER, Thiruvananthapuram        
36   G.V.K. Teja Male PhD Fellow, Mathematics, IISc Bangalore        
37   Subhajit Ghosh Male PhD Fellow, Mathematics, IISc Bangalore        
38   Lakshmi Priya M.E. Female PhD Fellow, Mathematics, IISc Bangalore        
39   S. Ayyappan  Male Post Doc, TIFR CAM Bangalore        
40   Abu Sufian Male PhD Fellow, Mathematics, IISc Bangalore        
41   Poornendu Kumar Male PhD Fellow, Mathematics, IISc Bangalore        
42   Shubham Rastogi Male PhD Fellow, Mathematics, IISc Bangalore        
43   Nimisha Pahuja Female PhD Fellow, Mathematics, IISc Bangalore        
44   Renjith. T Male PhD Fellow, Mathematics, IISc Bangalore        

 


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