Debanjana Kundu
Curriculum Vitae
Last Updated: August 25, 2024

PERSONAL DETAILS
BirthAddress
MailJanuary 6, 1993
3.434 MAGC, 1201 W. University Drive Edinburg, TX 78539, USAdkundu@math.toronto.edu or debanjana.kundu@utrgv.edu

EDUCATION
BS-MS Dual Degree
Indian Institute of Science Education and Research, Mohali, India

2010-2015

CGPA 9.7

MA PhD
University of Toronto, Toronto, Canada

2015–2020

EMPLOYMENTUniversité de MontréalCRM-ISM PostDoc, Thematic Program: Cohomology in Arithmetic

Fall 2020
January 2021–
December 2022

University of British Columbia, Vancouver
PIMS PostDoc Fellow

January– June2023

Fields Institute, Toronto
Visiting Researcher
University of Texas Rio Grande Valley

September 2023–
presentAssistant Professor

PUBLICATIONS
1. Growth of Fine Selmer Groups in Infinite Towers
Canadian Mathematics Bulletin (2020) Volume 63 / Issue 4 pp. 921-936.
2. Growth of p-Fine Selmer Groups and p-Fine Shafarevich-Tate Group in Z/pZ-Extensions
Journal of the Ramanujan Math Society (2021) Volume 36, No. 1.
3. Growth of Fine Selmer Groups in Uniform pro-p Extensions
Annales Mathématiques du Québec (2021) Volume 45, pp. 347–362.
4. Perfect Powers that are Sums of Squares of an AP (with V. Patel)
Rocky Mountain Journal of Mathematics (2021) Volume 51 / No. 3 pp. 933-949.
5. On an Analogue of Kida’s Formula for Fine Selmer Groups
Journal of Number Theory (2021) Volume 222; pp. 249-261.
6. Anticyclotomic µ-Invariants of Residually Reducible Galois Representations (with A. Ray)
Journal of Number Theory (2022) Volume 234, pp. 476-498.
7. Statistics for Iwasawa Invariants of Elliptic Curves (with A. Ray)
Transactions of the American Mathematical Society (2021) Volume 374/ Issue 11; pp.
7945–7965

8. Arithmetic Statistics and Non-Commutative Iwasawa Theory (with A. Lei and A. Ray)
Documenta Mathematica (2022) Volume 27, pp. 89–149
9. Iwasawa Invariants for elliptic curves over Zp -extensions and Kida’s Formula (with A. Ray)
Forum Math. 34 (2022), no. 4, 945–967
10. Control Theorems of Fine Selmer Groups (with M. F. Lim)
Journal de théorie des nombres de Bordeaux, Volume 34 (2022) no. 3, pp. 851-880
11. On the fine Selmer groups of modular forms and duality (with J. Hatley, A. Lei, J. Ray)The Ramanujan Journal (2023) Volume 60, pp. 237–258
12. λ-invariant stability in Families of Modular Galois Representations (with J. Hatley)
Research in Mathematical Sciences 10 (2023), article number 33
13. Growth of p-parts of ideal class groups and fine Selmer groups in Zq -extensions with p ̸= q
(with A. Lei)
Acta Arithmetica 207 (2023), no. 4, 297-313
14. Structure of fine Selmer Groups in p-adic Lie Extensions (with R. Sujatha and F. Nuccio)
Osaka J. Math. 61(1): 121-146 (January 2024).
15. Non-vanishing modulo p of Hecke L-values over imaginary quadratic fields (with A. Lei)
accepted for publication in Israel Journal of Math
16. Rank jumps and growth of Shafarevich–Tate groups for elliptic curves in Z/pZ-extensions(with L. Beneish and A. Ray)
accepted for publication in Journal of the Australian Math Society
17. Cotorsion of anti-cyclotomic Selmer groups on average (with F. Sprung)Proceedings of the American Math Society 152 (2024), 521-535
18. Heuristics for anti-cyclotomic Zp -extensions (with L. Washington)
accepted for publication in Experimental Math
19. Statistics for Iwasawa Invariants of Elliptic Curves II (with A. Ray)Int. J. Number Theory (2024), Volume No. 20, Issue No. 04, pp. 1099 – 1124
20. Studying Hilbert’s 10th problem via explicit elliptic curves (with A. Lei and F. Sprung)accepted for publication in Math Ann.
21. Statistics for anti-cyclotomic Iwasawa invariants of elliptic curves (with J. Hatley and A.
Ray)
accepted for publication in Math Z.

PREPRINTS
1. Murmurations of symmetric square of modular forms (with K. Müller) pre-print available
upon request, submitted
2. Derived p-adic heights and the leading coefficient of the BDP p-adic L-function (with F.
Castella, C.-Y. Hsu, Y.-S. Lee, Z. Liu) pre-print available on arXiv, submitted
3. On a conjecture of Mazur predicting the growth of Mordell–Weil ranks in Zp -extensions(with R. Gajek-Leonard, J. Hatley, A. Lei) available on the arXiv, submitted
4. Mazur’s Growth Number Conjecture in the Rank One Case (with A. Lei) submitted
5. Beyond Endoscopy via Trace Formula for GL(2, F ) (with M. Emory, M. Espinosa Lara,T.A. Wong) available on the arXiv, submitted
6. On the p-ranks of class groups of certain Galois extensions (with U. Asarhasa, R. Gambheera,
E. Nunez Lon-wo, A. Sheth) available on the arXiv, submitted
7. Class groups and Selmer groups (with Abhishek) preprint available upon request

AWARDS/ GRANTS/ DISTINCTIONS/ PRIZES
Academic Excellence Award (three times)
IISER Mohali (for SGPA 10 in three semesters)
Vivekananda Graduate Award for International Students
University of Toronto
General Motors Women in Mathematics and Science Award
University of Toronto
Malcolm Slingsby Robertson Prize in Mathematics
University of Toronto (best thesis award)
AMS–Simons Travel Grant
Early career travel grant ($2500/year)

2010-2015
2018–20192019–20202020
2024-26

FELLOWSHIPSINSPIRE Fellowship
Department of Science and Technology, Government of IndiaJNCASR Summer FellowshipJNCASR, India
DAAD WISE Scholarship
Germany
IAS Summer Fellowship (not availed)Indian Academy of Sciences, India
MITACS Globalink Research Internship
CanadaRhodes Scholarship finalist (top 18)
Oxford University, UK
TIFR VSRP Fellowship
TIFR, India
BIGS Scholarship for Graduate Studies (not availed)Hausdorff Center for Mathematics, Bonn, Germany
MITACS Graduate Fellowship
CanadaCRM-ISM Postdoctoral Fellowship
Université de MontréalPIMS Postdoctoral Fellowship
University of British Columbia, Vancouver
IAS Summer Research Fellowship
Institute for Advanced Study, Princeton

2010–2015
2012
2013
2013
2014
Class of 2015
2015
2015–2018
2015–2018
Fall 2020
January 2021–
December 2022
Summer 2022

SEMINARS
Introduction to Game Theory
Mathematics Club, IISER Mohali
27 Lines on a Cubic
Department Colloquium, IISER Mohali
Proofs of Quadratic Reciprocity
Department Colloquium, IISER MohaliLinear Groups- Malcev’s Theorem and Selberg’s Lemma
IISER Mohali
Principal L-Functions of the Linear Group
Department of Math, University of Toronto
Understanding the Rank Distribution Conjecture
Graduate Seminar, Department of Math, University of Toronto
What is an Elliptic Curve?
Graduate Seminar, Department of Math, University of Toronto

Aug 2012
November 2013
April 2014
April 2014
August 2016
November 2016
April 2017

Fun with Tilings
Graduate Seminar, Department of Math, University of TorontoMöbius Functions and Number Theory
Math Camp, Department of Math, University of Toronto
Pigeonhole Principle and its Applications
Graduate Seminar, Department of Math, University of Toronto
Iwasawa Theory and Pseudo-nullity Conjectures
Invited talk, Algebra & Number Theory Seminar, Université Laval
Iwasawa Theory of Fine Selmer Groups
Invited talk, QVNTS, Montreal
Overview of Iwasawa Theory
Invited talk, Junior Number Theory Seminar, University of Toronto
Iwasawa Theory of Fine Selmer Groups
Invited talk, Fields Institute Number Theory Seminar video
Iwasawa Theory of Fine Selmer Groups
Invited talk, PIMS Online Colloquium
Iwasawa Theory of Fine Selmer Groups
Invited talk, Number Theory Seminar, University of Toronto
Iwasawa Theory
Invited lecture series (3 lectures), Seoul National University
Iwasawa Theory and Arithmetic Statistics
Invited talk, University of Göttingen
Iwasawa Theory and Arithmetic Statistics
Invited talk, Ohio State UniversityIwasawa Theory and Arithmetic Statistics
Invited talk, Möbius ANT, CRM Montreal
Iwasawa Theory and Arithmetic Statistics
Invited talk, IISER Mohali Online Colloquium video
Iwasawa Theory and Arithmetic Statistics
Invited talk, Fields Institute Number Theory Seminar video
Fine Selmer Groups, Modular Forms, and Duality
Invited talk, Iwasawa Theory Virtual Seminar video(use passcode: upUiJL8%)
Studying Hilbert’s 10th Problem via Explicit Elliptic Curves
Invited talk, IMSc Chennai, India
Studying Hilbert’s 10th Problem via Explicit Elliptic Curves
Invited talk, HRI Allahabad, India
Studying Hilbert’s 10th Problem via Explicit Elliptic Curves
Invited talk, University of Lethbridge
Iwasawa Theory and Arithmetic Statistics
Invited colloquium talk, HRI Allahabad, India
Studying Hilbert’s 10th Problem via Explicit Elliptic Curves
Invited talk, University of Washington, Seattle
Studying Hilbert’s 10th Problem via Explicit Elliptic Curves
Invited talk, IIT Bombay, India
Heuristics for Iwasawa invariants in anti-cyclotomic Zp -extensions
Invited talk, Philadelphia Area Number Theory Seminar, Bryn Mawr
Iwasawa Theory and Arithmetic Statistics
Invited colloquium talk, Fordham University
Heuristics for Iwasawa invariants in anti-cyclotomic Zp -extensions
Invited talk, Arizona State University, Tempe
Heuristics for Iwasawa invariants in anti-cyclotomic Zp -extensions
Invited talk, University of Waterloo
p ̸= q Iwasawa Theory
Invited talk, ISI Bangalorep ̸= q Iwasawa Theory
Invited talk, IISc Bangalore
Iwasawa Theory and Arithmetic Statistics
Invited talk, Ashoka University

Fall 2018
Summer 2019
January 2020
January 2020
January 2020
October 2020
November 2020
February 2021
March 2021
Summer 2021
June 2021
October 2021
November 2021
November 2021
January 2022
February 2022
August 2022
September 2022
October 2022
October 2022
October 2022
October 2022
November 2022
November 2022
November 2022
January 2023
March 2023
March 2023
April 2023

Iwasawa Theory and Arithmetic Statistics
Invited talk, IIT Gandhinagar
Growth of Mordell–Weil ranks in Zp -extensions
Invited talk, UC Santa Barbara
Growth of Mordell–Weil ranks in Zp -extensions
Invited talk, UBC Vancouver
Growth of Mordell–Weil ranks in Zp -extensions
Invited talk, University of Georgia
Beyond Endoscopy via Poisson Summation for GL(2, K)
Invited talk, University of Toronto
Studying Hilbert’s 10th Problem via Explicit Elliptic Curves
Invited talk (pure math seminar), UTRGV (Brownsville campus)
Studying Hilbert’s 10th Problem via Explicit Elliptic Curves
Invited talk, University of Texas Tylerp-ranks of class groups via Galois cohomology
Invited talk, Michigan State University

April 2023
November 2023
February 2024
February 2024
March 2024
April 2024
April 2024
October 2024

CONFERENCES, WORKSHOPS AND SUMMER SCHOOLS
Summer Graduate School, MSRI
July 2016
Summer school on Introduction to Character Theory and the McKay Conjecture.
PIMS Summer School, UBC Vancouver
July 2016
Summer School on Representation Theory of Finite Groups
Montreal-Toronto Workshop in Number Theory, CRM
December 2016
Workshop on Mock Modular Forms
5 Day Workshops at BIRS, Banff
July 2017
Workshop on Diophantine Approximation and Algebraic Curves
Summer Graduate School, MSRI
July 2017
Summer school on Automorphic Forms and Langlands Program
AIM Workshop, San Jose
December 2017
Workshop on Functoriality and the Trace Formula
January 2018
Montreal-Toronto Workshop in Number Theory, CRM
Workshop on Unitary Shimura Varieties
Arizona Winter School, Tucson
March 2018
Winter school on Iwasawa Theory
PIMS Focus Period, UBC Vancouver
March 2018
Focus Period on Representations in Arithmetic
Upstate Number Theory Conference, SUNY BuffaloApril 2018
Young Researchers Conference
May 2018
Strength in Numbers, Queen’s University
Graduate Student Conference, Contributed talkMay 2018
CTNT Summer School, University of Connecticut
Summer School and Conference
CNTA Conference, Universite Laval
July 2018
Contributed talkMontreal-Toronto Workshop in Number Theory, CRM
March 2019
Workshop on p-adic Hodge Theory
Analytic & Combinatorial Number Theory, UIUC
June 2019
Contributed talk
SOGMSC, University of Guelph
June 2019
Contributed talkBoston University-Keio University Workshop
June 2019
Contributed talk
PAlmetto Number Theory Seminar (PANTS) XXXII
September 2019
Invited talk
Maine-Quebec Number Theory Conference
October 2019
Contributed talk

MAAIM, Emory University
November 2019
Contributed talk
CTNT Conference, University of Connecticut
June 2020
Contributed talk slides
Maine-Quebec Number Theory Conference
Fall 2020
Contributed talk slides video
John’s Hopkins Junior Number Theory Days
December 2020
Invited Talk notes video
January 2021
AIM Workshop, Online
Workshop on Arithmetic Intersection Theory on Shimura Varieties
CMS Summer Meeting
June 2021
Invited talk, Session: Algebraic Number Theory
Workshop on Arithmetic Statistics Problems
July 2021
Invitation-only Conference
Maine-Quebec Number Theory Conference
October 2021
Contributed talkMay 2022
Women in Maths: Progress and Challenges, IIT Jodhpur
Invited talkAugust 2022
Pair of Automorphic Workshops
part of Castella–Liu research group
CMS Winter Meeting
December 2022
Invited talk, Session: Diophantine Arithmetic Geometry and Number Theory
PRIMA Congress
December 2022
Invited talk, Session: Arithmetic geometry: theory and computation
January 2023
5 Day Workshops at BIRS, Banff
Workshop on Arithmetic Aspects of Deformation Theory
Special values of L-functions, Paderborn University (Germany)
March 2023
Invited talk
CMS Summer Meeting
June 2023
Invited talk, Session: Arithmetic aspects of automorphic forms
Rethinking Number Theory
June 2023
Project Leader
Texas-Oklahoma Representations and Automorphic forms (TORA)
October 2023
Invited talkBrin MRC Workshop - Vistas in Number Theory
June 2024
Invited talkCanadian Number Theory Association (CNTA) Conference XVIJune 2024
Invited talk video
AMS Fall Central Sectional Meeting
September 2024
Invited talk (session: L-Functions and Automorphic Forms)
Automorphic Forms and the Bloch–Kato Conjecture
Summer 2025
Invited talk

ORGANIZATION: SEMINARS AND MINI-COURSES
Summer Learning Seminar on Modular Forms
Graduate Seminar, Department of Math, University of Toronto
Summer Learning Seminar on Galois Cohomology
Graduate Seminar, Department of Math, University of Toronto
Introduction to Automorphic Forms and Langlands Program
Graduate Seminar, Department of Math, University of Toronto
Learning Seminar on Classical Iwasawa Theory
Graduate Seminar, Department of Math, University of Toronto
Learning Seminar on Beyond Endoscopy
Graduate Seminar, Department of Math, University of Toronto
Learning Seminar on Etale Cohomology
Graduate Seminar, Department of Math, University of Toronto

Summer 2017
Summer 2017
Fall 2017
Fall 20172017–18
Winter 2018

Learning Seminar on Complex Multiplication
Fall 2018
Graduate Seminar, Department of Math, University of Toronto
Learning Seminar on p-adic Lie Groups
Summer 2019
Graduate Seminar, Department of Math, University of Toronto
Learning Seminar on Tate Conjectures
Fall 2019
Graduate Seminar, Department of Math, University of Toronto
CMS Mini-Course on Iwasawa Theory
December 2019
Co-organizer with R. Sujatha
Learning Seminar on Abelian ℓ-Adic Representations
Summer 2020
Graduate Seminar, Department of Math, University of Toronto
Learning Seminar on Euler system and Eisenstein congruences
Fall 2020
Iwasawa Seminar, Department of Math, UBC Vancouver
CRM Women’s Seminar
Fall 2020
Part of the thematic program at CRM
Learning Seminar on Coleman Families of Modular Forms
Fall 2020
Part of the thematic program at CRM
Learning Seminar on Eigenvarieties
Winter 2021
Iwasawa Seminar, Department of Math, UBC Vancouver notes
Learning Seminar on Quadratic Twists
Winter 2021
Iwasawa Seminar, online
UBC Number Theory Seminar
2021- 2022
Department of Mathematics, UBC Vancouver
Beyond Endoscopy Mini Conference
April 2023
Lead Organizer
2023 – present
UTRGV Algebra/Number Theory Seminar
SMSS, UTRGVAMS Special Session on Additive Number Theory and Modular Forms
Fall 2024
Fall Central Sectional Meeting
CMS Session on Arithmetic Aspects of Galois representations
Fall 2024
Winter CMS Meeting
Spring 2025
Automorphic Forms Workshop
co-organizer

TEACHING ASSISTANCE EXPERIENCE(UNIVERSITY OF TORONTO)
MAT223 (Linear Algebra)
multiple times
Instructor: S. Uppal
MAT235 (Multivariable Calculus)
multiple times
Instructor: Dr. N. Jung
MAT237 (Multivariable Calculus)
multiple times
Instructor: Dr. T. Holden, Prof. R. Gerrard
MAT240 (Linear Algebra for Math Specialists)
multiple times
Instructor: Prof. E. Meinrenken
MAT246 (Concepts in Abstract Math)multiple times
Instructor: Dr. J. Korman, Dr. H. Soheil, Prof. F. Murnaghan, Dr. D. Burbulla
MAT247 (Linear Algebra II for Math Specialists)
Winter 2018
Instructor: Prof. S. Kudla
MAT315 (Elementary Number Theory)
Winter 2020
Instructor: Prof. H. Kim
MAT336 (Elements of Analysis)
Winter 2017
Instructor: Dr. H. Soheil
MAT401 (Polynomial Equations and Fields)
Summer 2017
Instructor: Dr. J. Korman

TEACHING EXPERIENCE
University of Toronto:
MAT188 (Linear Algebra)
Course Coordinator: Dr. D. Burbulla
MAT136 (Calculus II)
Course Coordinator: Dr. S. Mayes-Tang
MAT136 (Calculus II)
Course Coordinator with Dr. D. Le and A. Oswal
MAT237 (Multivariable Calculus)
Course Coordinator with Dr. T. Ens, A. Pannu, and Dr. R. Zhu
University of British Columbia (Vancouver):MAT105 (Integral Calculus for Social Sciences and Commerce)
Course Coordinator: Prof. K. Liu
MAT152 (Linear Systems)
Course Coordinator: Prof. K. KaruUTRGV:
MATH2413 (Calculus I)
MATH3363 (Algebra I)
MATH2318 (Linear Algebra)

Fall 2018
Winter 2019
Summer 2019
Summer 2020

Winter 2021
Winter 2022

Fall 2023
Spring 2024
Fall 2024

ACADEMIC SERVICES
Refereed for

Reviewer for
Examiner for

Mathematika, The Ramanujan Journal, Nagoya Math Journal,
Annales Mathématiques du Québec, Canadian Math Bulletin,
Czechoslovak Mathematical Journal, Forum Mathematicum,
Documenta Math, Acta Arithmetica, Abh. Math. Semin. Univ. Hambg.
Mathematics Reviews
Christopher M. Stokes (PhD candidate, Arizona State University, 2023)
Paul Marsh (Masters thesis committee, UTRGV, Fall 2023)
Jacob Gutierrez (Masters thesis committee, UTRGV, Fall 2023)

BACHELORS THESIS/PROJECT SUPERVISION
Adithya Chakravarthy (University of Toronto)
research on the Iwasawa theory of fine Selmer groups (thesis)
Vitthal Yellambalse (BITS Pilani, Goa campus)
Bachelors project on theory of cyclotomic fields
Alejandro Delgado (UTRGV)
Bachelors project
Raul Marquez (UTRGV)
Bachelors project2021 – 2023
Jan – May 2022
Fall 2024
Fall 2024

MASTERS THESIS/PROJECT SUPERVISION
Ama Quansah (UTRGV)
Masters project
Dawson Strong (UTRGV)
Masters project

Fall 2024
Fall 2024

MENTORSHIP
Math Outreach, UofT
2018–2020
Anna Krokhine (2018): research project on graph theory and combinatorics.
Maya Bozzo-Rey (2019): project on Benford’s Law.
Jennifer Wang (2020): reading project in number theory.
2021–present
Undergraduate Mentorship
Shubrojyoti Dhara; ISI Bangalore (May–July 2023): Theory of ellitic curves
Léonie Chipot; University of Ottawa (May–June 2023): Proof writing.
Raul Marquez; UTRGV (Sep 2023–Apr 2024): Theory elliptic curves & topics in number theory.
Samyak Jha; IIT Bombay (Sep–Dec 2023): Project on p-adic L-functions.
Aniruddha Mondal; IISER Mohali (May–July 2024): p-adic numbers.
Parkhi Nandini Mandar; IISER Bhopal (May–July 2024): p-adic numbers.

OTHER SERVICES
Women in Math, Toronto Chapter
2019–2020
Female graduate students from schools in and around the Greater Toronto Area came together
for WiM, Toronto Chapter in 2019. I was a part of the core team and a mentor for incoming
graduate students.
Outreach, UBC
2021
I was an adjudicator for MURC 2021. This is an undergraduate level multi-disciplinary research
conference organized at UBC every year.
Panelist at MathPath
July 2021
I was a panelist at the MathPath Summer Camp for middle school students talking about hardships
faced as a female mathematician.
EDI Committee, UBC
2021-2022
I was a member of the UBC Math Department Equity, Diversity and Inclusion Committee.

REFERENCES
Kumar Murty (murty@math.toronto.edu)
Professor (University of Toronto) & Director (Fields Institute)
R. Sujatha (sujatha@math.ubc.ca)
Professor (UBC Vancouver)Henri Darmon (henri.darmon@mcgill.ca)
Professor (McGill University)
Otmar Venjakob (venjakob@mathi.uni-heidelberg.de)Professor (University of Heidelberg)
Lawrence Washington (lcw@umd.edu)
Professor (University of Maryland)
Antonio Lei (antonio.lei@uottawa.ca)
Associate Professor (University of Ottawa)
Fok-Shuen Leung (fsl@math.ubc.ca)
Undergraduate Chair (Department of Mathematics, UBC Vancouver) – for teaching