Workshop in Harmonic Analysis and Operator Theory (2025)

Convener(s)

 
Name: Dr. Jotsaroop Kaur Dr. Santhosh K. Pamula
Mailing Address: Assistant Professor
Department of Mathematics,
Indian Institute of Science education and Research, Mohali		 Assistant Professor
Department of Mathematics,
Indian Institute of Science education and Research, Mohali
Email: jotsaroop at iisermohali.ac.in santhoshkp at iisermohali.ac.in

This workshop is organised before the Discussion meeting in Harmonic analysis conference organised once every two years. The main aim of this NCMW is to introduce the recent developments in Harmonic analysis and also its relation with operator theory. This program is intended for Ph.D. students, post-doctoral fellows, and young teachers interested in working in Harmonic analysis and operator theory. The overall theme of this workshop will be inequalities in Harmonic analysis ,restriction theory, uncertainty principle with applications to data science, rough singular integral operators, uniform resolvent estimates and Rokhlin property for inclusion of C* algebras. All the above themes are very exciting in the field of analysis. We are having experts from abroad and within the country to present these topics.

Dates: 

Monday, December 8, 2025 - 19:00 to Saturday, December 13, 2025 - 19:00

Venue: 

Venue Address: 

 

Dr.Jotsaroop Kaur
Assistant Professor Department of Mathematics
Indian Institute of Science education and Research,Mohali
Sector 81 SAS Nagar, Mohali 140306,
Punjab

 

Venue State: 

Venue City: 

PIN: 

140306

Chrono Order: 

534

Syllabus: 

 

Name of Speakers with Affiliations

No of Lecture Hours
(1.5 hours each)

Detailed Syllabus

Jonathan Bennett
(University of Birmingham, UK)

4

 Title: Brascamp—Lieb inequalities in harmonic analysis

Abstract: The Brascamp—Lieb inequalities are a broad generalisation of a host of important inequalities in mathematics, such as the H\"older, sharp Young's convolution, and Loomis—Whitney inequalities. While they naturally arise across the mathematical sciences, they have found remarkable applications in harmonic analysis over the last decade. In these lectures we will provide an accessible introduction to this area, placing emphasis on applications to well-known themes in modern harmonic analysis, from the restriction theory of the Fourier transform to Radon-like transforms.

Hiroyuki Osaka
(Ritsumeikan University, Kusatsu, Japan)

4

 Title: “ The Rokhlin property for inclusion of C*-algebras”
Abstract: Let A ⊂ B be an inclusion of unital C*-algebras. It is  a  natural  question  which  C*-algebraic  permanent properties (simplicity, finiteness, real rank zero condition, stable rank one condition, nuclearity, strictly comparison property with respect to projections (resp.positive elements), the Jang-Su absorption, etc) are inherited to a small C*-algebra   from a large C*-algebra  . The typical example is the inclusion A ⊂ A XαΓ of a C*-algebra  and its C*-crossed product A XαΓ by a discrete group  and an action from on . In case of has the Rokhlin property (strong or weak), then we know that several permanent properties are inherited to a small C*-algebra from a large C*-algebra.
In these lectures at first, we present basic operator algebras theory and classification theory of operator algebras. Then, we present Rokhlin property (strict, tracial, weak) for actions of C*-crossed products by discrete groups. After that we introduce the Rokhlin property for inclusion A ⊂ B of C*- algebras and show that several permanent properties are inherited to from under the condition that the Watatani index is finite which is C*-version of Jones index theory. Finally, we introduce several future problems.

Parasar Mohanty
(IIT Kanpur)

3

 Title: Rough singular Integral operator Abstract: In this short course, we will try to cover the following topics: (i) The ideas behind the proofs of Christ, Rubio de Francia, and Seeger.
(ii) Recent developments in the boundedness in the weighted setting (iii) Recent advancements in research concerning endpoint results of maximal rough singular operators

Jotsaroop Kaur
(IISER Mohali)

3

Title: Uniform Resolvent estimates for Laplacian Abstract: The plan of the lectures is to first introduce the classical result by C. Kenig, A. Ruiz and C. Sogge in 1987 regarding Uniform resolvent estimates and unique continuation of Laplacian. We will also do the sharp result by S. Lee, E. Jeong and Y. Kwon regarding uniform resolvent estimates for non elliptic constant coefficient differential operators and its applications. We will also discuss the analogue resolvent estimates in the hypo elliptic setting, namely Grushin operator and Heisenberg Sub Laplacian. development .

Alex Iosevich
(University of Rochester,USA)

4

 Title: ”Restriction theory, uncertainty principle, spectral synthesis, signal recovery and applications to data science".

Abstract: We are going to discuss a variety of connections between the restriction theory for the Fourier transform, the Fourier uncertainty principle, spectral synthesis, signal recovery, and the imputation of missing values in time series. Throughout the lectures, we are going to go back and forth between purely theoretical and highly applied concepts to present a continual symbiosis that channels techniques and ideas in both directions.

 

References:

  1.  Bennett, J., Carbery, A., Christ, M., Tao, T. The Brascamp–Lieb Inequalities: Finiteness, Structure and Extremals. GAFA Geom. funct. anal. 17, 1343–1415 (2008). https://doi.org/10.1007/s00039-007-0619-6.
  2. Seeger, Andreas Singular integral operators with rough convolution kernels. J. Amer. Math. Soc. 9 (1996), no. 1, 95-105.
  3. Bhojak, Ankit; Mohanty, Parasar Weak type bounds for rough maximal singular integrals near L^1.J. Funct. Anal. 284 (2023), no. 10.
  4. C.E. Kenig, A. Ruiz, C.D. Sogge, Uniform Sobolev inequalities and unique continuation for second order constant coefficient differential operators, Duke Math. J., 55 (2) (1987), pp. 329-347
  5. E. Jeong, Y. Kwon, S. Lee, Uniform Sobolev inequalities for second order non-elliptic differential operators, Advances in Mathematics, Volume 302, 2016, Pages 323-350.
  6. Kodaka, K., Osaka, H., and Teruya, T., The Rokhlin property for inclusions of C*-algebras with a finite Watatani Index. In: Operator structures and Dynamical Systems, Contemporary Mathematics , 503, American Mathematical Society, Providence, RI, 2009, pp. 177–195.
  7. H. Osaka and T. Teruya, The Rokhlin property for inclusion of C* -algebras, Rocky Mount. J. Math. 50 (2020), no. 5. 1785 –1792.
  8. H. Osaka, K. Kodaka, T. Teruya, The Rokhlin property for inclusion of C*-algebras with a finite Watatani index , Contem. Math. 503(2009), 177–195.
  9. Y. Watatani, Index for C*-subalgebras, Mem. Amer. Math. Soc. 424(1990), AMS.

Names of the tutors with their affiliation:

        1. Utsav Dewan (ISI Kolkata)
        2. Rifat Siddique (IISER Mohali)
        3. Riju Basak (NTU Taiwan)
 

 

Time Table: 

 

Day

Date

Lecture 1

9.30 – 11.00

Tea

11.05 - 11.25

Lecture 2

11.30 - 1.00

Lunch

1.05 – 1.55

Lecture 3

2.00 - 3.30

Tea

3.35 - 3.55

Discussion

4.00 - 5.00

Snacks

5.05 - 5.35

 

 

(name of the speaker)

 

(name of the speaker)

 

(name of the speaker)

 

(Name of the tutor)

 

Mon

08/12

JB

 

HO

 

AI

 

RB & JB

 

Tues

09/12

HO

 

PM

 

JK

 

RS & HO

 

Wed

10/12

JB

 

PM

 

AI

 

RB & JB

 

Thu

11/12

HO

 

JK

 

JB

 

RS & HO

 

Fri

12/12

JB

 

AI

 

HO

 

UD & AI

 

Sat

13/12

PM

 

JK

 

AI

 

UD & AI

 

 

Full forms for the abbreviations of speakers and tutors:

JB: Jonathan Bennett
HO: Hiroyuki Osaka
PM:Parasar Mohanty
AI: Alex Iosevich
JK:Jotsaroop Kaur
UD:Utsav Dewan
RS:Rifat Siddique
RB:Riju Basak 

Selected Applicants: 

 

Serial SID Full Name Gender Name of college/ University where employed/ studying Position in College/ University University/Institute M.Sc./M.A. Year of Passing M.Sc./ M.A Ph.D. Degree Date
1 65496 Mr. Aniruddha Vishwas Deshmukh Male Indian Institute of Technology Indore PhD Sardar Vallabhbhai National Institute of Technology Surat 2020  
2 65507 Mr Sajin Vincent A.W. Male IIT Indore Ph.D University of Kerala 2022  
3 65515 Mr Mohammad Asif Asif Ali Male IIT ROORKEE PhD   2020  
4 65538 Mr. Subhash Ranjan Choudhary Male Indian Institute of Science Education and Research, Pune PhD Banaras Hindu University 2021  
5 65557 Mr. Puspendu Nag Male IIT Hyderabad PhD Indian Institute of Technology Hyderabad 2023  
6 65575 Ms Archana M P Female IISc PhD Calicut university 2022  
7 65582 Dr. Aswin Govindan Sheri Male IISER Berhampur Post-doctoral Research Fellow IISER Mohali    
8 65591 Mr. Sarthak Tiwari Male National Institute of Science Education and Research PhD Barkatullah university 2020  
9 65592 Mr. Elanchearan R S Male Indian Institute of Technology Madras PhD Indian Institute of Technology Madras 2020  
10 65607 Mr. Sanjib Pradhan Male Indian Institute of Technology Kharagpur PhD Indian Institute of Technology Kharagpur 2024  
11 65609 Ms. Prerna Gulia Female Indian Institute of Technology Delhi PhD Indian Institute of Technology Kanpur 2022  
12 65615 Mr Hiran Das P Male Cochin University of Science and Technology PhD student Mahatma Gandhi College Iritty 2021  
13 65624 Mr. Sarthak Raj Male Indian Institute of Technology Delhi PhD Indian Institute of Technology Delhi 2023  
14 65627 Mr. Satyajyoti Achar Male National Institute of Science Education and Research (NISER Bhubaneswar) PhD Presidency University Kolkata 2021  
15 65651 Ms Diksha Dhingra Female Indian Institute of technology, Indore PhD University of Delhi 2019  
16 65652 Dr. Shubham Rameshsingh Bais Male Indian Institute of Science (IISc) Postdoctoral Fellow Pondicherry University 2017 15/07/2023
17 65662 Dr. Santosh Kumar Nayak Male Indian Institute of Science Bangalore Postdoctoral Fellow Utkal University 2015 22/03/2023
18 65703 Mr. Md Hasan Ali Biswas Male IISC Bangalore Postdoc M.Sc. 2017 08/05/2023
19 65727 Mr. Rohit Sharma Male Indian Institute of Science Education and Research Mohali Ph.D Panjab University Chandigarh 2022  
20 65729 Mr K N Sridharan Namboodiri Male Indian Institute of Technology Delhi PhD Amrita Vishwa Vidyapeetham 2019  
21 65734 Mr. Asik Doctor Male National Institute of Science Education and Research PhD India Institute of Tecnology Indore 2023  
22 65741 Ms Pratima Pandey Female IIT(ISM) Dhanbad PhD Allahabad university 2020  
23 65743 Dr. Suman Mukherjee Male Indian Institute of Technology Bombay Post Doctoral Fellow University of Calcutta 2018 17/10/2024
24 65745 Mr. Rishabh Saini Male Indian Institute of Technology Mandi PhD IIT Mandi 2020  
25 65753 Mr. Siddhartha Samanta Male IISER Bhopal Int.PhD IISER Bhopal 2024  
26 65770 Mr. Shubhankar Ghosh Male University of Calcutta PhD Visva-Bharati 2020  
27 65772 Ms Majethiya Priyanka Anil Kumar Female Sardar Vallabhbhai National Institute of Technology PhD The Maharaja Sayajirao University of Baroda, Vadodara, Gujarat. 2022  
28 65785 Mr. Uday Sureshkumar Patel Male Harish-Chandra Research Institute PhD (SRF) Sardar Patel University    
29 65790 Mr. Joydwip Singh Male IISER Kolkata PhD IIT Kanpur 2020  
30 65800 Mr. Avinash Bhardwaj Male SRM UNIVERSITY-AP PhD AISECT University, Hazaribagh, Jharkhand 2022  
31 65825 Mr. Riju Basak Male National Taiwan Normal University Postdoctoral fellow IISER Bhopal 2018 03/07/2022
32 65845 Mr. Antik Paul Male Indian Institute of Science Education and Research Pune PhD Student Indian Institute of Technology, Kanpur 2023  
33 65848 Mr. Surjeet Singh Choudhary Male National Center for Theoretical Sciences Post-doctoral Fellow Indian Institute of Technology 2019 03/07/2024
34 65917 Ms. Sutapa Bhowmik Female Indian Institute of Technology (Indian School of Mines) Dhanbad PhD student Banaras Hindu University 2022  
35 65929 Mr. Suman Mondal Male IISER Thiruvananthapuram PhD IISER Thiruvananthapuram 2023  
36 65935 Ms. Nishta Garg Female IISER Bhopal PhD Kurukshetra University Kurukshetra 2020  
37 66009 Mr. Adil Shafi Wani Male Indian Institute of Technology Mandi Ph.D Central University of Kashmir 2023  
38 66061 Mr. Ankit Bhojak Male IISER Bhopal NPDF Postdoctoral Fellow IIT Kanpur 2016 03/07/2023
39 66084 Ms. Himali Prakash Dabhi Female University of Edinburgh PhD The Maharaja Sayajirao University of Baroda 2022  
40 66086 Mr. Sahil Kalra Male Indian Institute of Technology Indore PhD University of Delhi M.Sc. 2017  
41 66110 Dr. Manish Chaurasia Male NISER Post-doc IIT-Bhubaneswar 2018 26/04/2024
42 66123 Mr. Rifat Siddique Male Indian Institute of Science Education and Research (IISER) Mohali PhD Indian Institute of Science Education and Research (IISER) Mohali 2023  
43 66263 Ms. Mahima . Female Indian Institute of Science Education and Research, Mohali Ph.D. Indian Institute of Technology, Bombay 2022  
44 66269 Mr. Manan Jain Male Indian Institute of Science Education and Research Mohali PhD IISER Mohali M.Sc. 2025  
45 66277 Mr Mehta Nihar Kamleshbhai Male Institute of Infrastructure, Technology, Research And Management PhD Sardar Patel M.Sc. 2024  
46 66283 Mr. Hemant Bansal Male IISER Mohali PhD Scholar TIFR CAM 2020  
47 66287 Mr. Ankush Sonu Ghartan Male INDIAN INSTITUTE OF TECHNOLOGY HYDERABAD PHD IIT HYDERABAD 2022  
48 66371 Mr. Surya Kanta Rana Male Indian Institute of Science Education and Research Bhopal Ph.D. Indian Institute of Science Education and Research Bhopal 2025  
49 66444 Mr. Sunit Ghosh Male Indian Institute of Technology Guwahati PhD Indian Institute of Technology Guwahati 2020  
50 66447 Ms. Sangita Kundu Female Indian Institute of Science Education and Research Bhopal Ph.D. University of Kalyani 2023  
51 66459 Dr. Iswarya Sitiraju Female IIT-Bombay Postdoctoral IISER Mohali 2018 31/05/2024
52 66465 Mr. Utsav Dewan Male Indian Statistical Institute, Kolkata PhD Student Indian Statistical Institute, Kolkata 2020  
53 66479 Dr. Mohd Younus Bhat Male ISLAMIC UNIVERSITY OF SCIENCE AND TECHNOLOGY AWANTIPORA PULWAMA JAMMU AND KASHMIR INDIA 192122 Assistant Professor University of Kashmir 2011 04/05/2017
54 66508 Mr. Atanu Mondal Male Indian Statistical Institute, Kolkata PhD University of Calcutta , M.Sc. 2023  
55 66515 Mr. Kuldeep Kumar Patel Male IISER MOHALI PhD IISER MOHALI 2024  
56 66547 Ms. Priyanka Balvant Female IIT(BHU) Varanasi PhD Veer Bahadur Singh Purvanchal University, Jaunpur, U.P. 2019  
57 66597 Dr. Younis Ahmad Bhat Male IIT Guwahati IPDF University of Kashmir 2016 06/06/2024
58 66708 Ms. Bhumi Shailesh Amin Female Indian Institute of Technology Hyderabad PhD Student The Maharaja Sayajirao University of Baroda 2019  
59 66740 Ms. Jyoti Rani Female Indian Institute of Technology Bhilai PhD Student Kurukshetra University, Kurukshetra 2019  
60 66746 Mr Harshavardhan Sarma Sripathi Male National Institute of Technology Meghalaya PhD Central University of Karnataka 2021  
61 66764 Mr. Sumit Kumar Male Jawaharlal Nehru University PhD Indian institute of technology Ropar, Punjab 2020  
  Waitlisted Applicants
1 65568 Mr. Sumit Parashar Male Indian Institute of Technology PhD University of Delhi 2019  
2 65570 Mr. Arvish Dabra Male Indian Institute of Technology Delhi PhD Indian Institute of Technology Delhi 2021  
3 65705 Mr. Krishan Sharma Male Government College For Women Gurawara, Rewari Assit. Professor IIT Delhi 2016  
4 65793 Mr. Uttam Kumar Dolai Male Indian Institute of Technology Delhi PhD Indian Institute of Technology Indore 2024  
5 65979 Ms. Sreya T Female INDIAN INSTITUDE OF TECHNOLOGY DHANBAD SRF Pondicherry University 2019  
6 66074 Ms. Gita Rani Mahato Female SRM University- AP PhD University Department of Mathematics, Ranchi 2020  
7 66122 Mr Subhajit Palai Male IISER Thiruvananthapuram Integrated PhD student IISER Thiruvananthapuram 2023  
8 66728 Ms. Anjana . Female IIT Ropar PhD University of Delhi 2023  
9 66662 Mr Repana Devendra Male IIT Bombay Posdoctoral Fellow University of Hyderabad 2014 29/09/2023

 

 

 

 

How to Reach: 

TBA

School Short Name: 

whaot

Last Date Application: 

Monday, August 15, 2022

School Type: 

NCMW

Separate faculty form: 

0