Sourav Ghosh

Contact Information

Ashoka University
Rajiv Gandhi Education City,
Sonipat, Haryana 131029, India

Official email: sourav(dot)ghosh(at)ashoka(dot)edu(dot)in
Semi-official email: sourav(dot)ghosh(dot)bagui(at)gmail(dot)com

Short Bio

I am a tenured Associate Professor at Ashoka University since 2025. I received my doctorate from Université Paris Sud in 2015 under the guidance of Prof. François Labourie. I am interested in discrete subgroups of Lie groups, Higher Teichmüller theory and Hyperbolic Dynamics.

I am also currently the Capstone Thesis coordinator and member of the Doctoral committee at the Department of Mathematics at Ashoka University. Anyone who wants to write a Capstone Thesis, Master's Thesis or a Doctoral Thesis, please have a look at the following link: Mathematics Students Resource.

Research

Accepted

“Homogeneous spacetimes inspired from Margulis spacetimes"

In: Bär, C., Hanke, B. , Wienhard, A., Wilking, B. (eds) Geometry at Infinity - Final volume of the DFG Priority Program 2026.

Published

“Affine Anosov representations"

In: Prasad, G., Rapinchuk, A., Sury, B., Tralle, A. (eds) Zariski Dense Subgroups, Number Theory and Geometric Applications.

Infosys Science Foundation Series in Mathematical Sciences .

Version of record, arXiv:2412.17422.

“Deformation of Fuchsian representations and proper affine actions"

J. Lond. Math. Soc. (2) 113 (2026), no. 3, Paper No. e70488, 38 pp.

Version of record, arXiv:2312.16655.

“Finite step Rigidity of Hitchin representations and special Margulis-Smilga spacetimes"

Math. Ann. 392 (2025), no. 2, 1965--1993.

Version of record, arXiv:2107.01626.

“Isospectrality of Margulis-Smilga spacetimes for irreducible representations of real split semisimple Lie groups"

Algebr. Geom. Topol. 26 (2026), no. 2, 411--435.

Version of record, arXiv:2009.12746.

“Margulis Multiverse: Infinitesimal Rigidity, Pressure Form and Convexity"

Trans. Amer. Math. Soc. 376 (2023), no. 6, 4239--4272.

Version of record, arXiv:1907.12348.

“Avatars of Margulis invariants and proper actions"

Ann. Inst. Fourier (Grenoble) 76 (2026), no. 4, 1755--1806.

Version of record, arXiv:1812.03777.

“Affine Anosov representations and proper actions” (joint with Nicolaus Treib)

Int. Math. Res. Not. IMRN 2023, no. 16, 14334--14367.

Version of record, arXiv:1711.09712.

“The Pressure metric on the Margulis Multiverse”

Geom. Dedicata 193 (2018), 1--30.

Version of record, arXiv:1505.00534.

“Anosov structures on Margulis spacetimes”

Groups Geom. Dyn. 11 (2017), no. 2, 739--775.

Version of record, arXiv:1412.8211.

Doctoral Thesis

“Thermodynamiques des espaces-temps de Margulis”
Advisor: Prof. Francois Labourie, Year: 2015.

Expositions

Published

“From Particles to Polynomials -- Symmetry, Equations, and the Structure of Physical Laws”

Invited article in Ashoka Physics Journal, Spring 2025 edition.

“Mathematics? What’s that?”

Invited article in Samvad. The Newsletter from Ashoka University, Vol. 25, 2022.

Slides

“Homogeneous spacetimes inspired from Margulis spacetimes”

Ashoka-INSA joint Symposium short talk, 2025.

“Finite step rigidity”

ICTS Gopal Prasad Conference short talk, 2024.

“Proper affine actions of hyperbolic groups”

Infosys-Chandrasekharan Colloquium talk, 2023.

“Proper affine actions”

Job talk, 2020.

Lecture Notes

“Multivariate Calculus” (2022).
“Linear Algebra” (2021).
“Complex Analysis” (2021).
“Metric and Topological Spaces” (2021).
“Galois' Dream” (differential Galois theory, 2021).
“An Introduction to Complex Geometry” (2019).
“Thermodynamic Formalism” (symbolic dynamics, 2017).
“Lie Theory: A Summary” (notes from a talk, 2017).
“Geometry of Surfaces and their Dynamics” (2016).

Master's Thesis

“Margulis Space Time : Crooked planes and the Margulis Invariant”**

Advisor: Prof. Francois Labourie, Year: 2012.

SRFP Project

“Extension of Spectral Theorem to the Infinite Dimensional Case”**

Advisor: Prof. Gadadhar Misra, Year: 2009.

**Disclaimer: These articles/notes do not contain any original research and even though they contain all the references, at the end in the bibliography, yet inside the main body the references have not been used properly to cite the sources of individual results and sections.

Supervision

PhD Thesis of Mr. Shubham Kumar (ongoing).
PhD Thesis of Mr. Tuhin Mondal (ongoing).
(jointly with Dr. Kumarjit Saha) Capstone Thesis of Mr. Ojas Kumar titled “Percolation theory on discrete groups” (2022-2023).

Subsequent position: Masters student at CMI.

Capstone Thesis of Mr. Pratik Apshinge titled “Complex structures on surfaces” (2021-2022).

Subsequent position: Masters student at Bonn.

Master's Thesis of Mr. Yibo Zhang titled “Random Walks and Flows on Hyperbolic Surfaces” (Spring 2020).

Subsequent position: Doctoral candidate at Grenoble.

Teaching

Ashoka University

Foundation Course (Spring 2023-24, 2022-23).
Math in Bio (Monsoon 2023-24).
Calculus (Monsoon 2024-25).
Linear Algebra (Spring 2025-26, 2023-24, Monsoon 2025-26, 2023-24, 2021-22).
Multivariate Calculus (Monsoon 2023-24, Spring 2022-23, 2021-22).
Real Analysis (Monsoon 2022-23).
Metric and Topological Spaces (Spring 2020-21).
Complex Analysis (Monsoon 2025-26, 2024-25, 2021-22).
Galois' Dream (Spring 2020-21).
Geometry and Topology (Monsoon 2022-23).
Graduate Geometry (Spring 2025-26).

University of Luxembourg

Complex Geometry (Spring 2018-19, 2019-20).

University of Heidelberg

Thermodynamic Formalism (Spring 2016-17).
Geometry of Surfaces and their Dynamics (Spring 2015-16).

University of Paris-Saclay

Scilab (Fall 2014-15).

Organization

Organized workshop on Thermodynamic formalism at Ashoka University with Dr. Nishant Chandgotia of TIFR-CAM (Bengaluru), 2023.
Organized Junior Geometry Seminars at Universitat Heidelberg, 2016-17.

Employment

Associate Professor at Ashoka University, 2025 onwards.
Assistant Professor at Ashoka University, 2021-2025.
PostDoc fellow at University of Luxembourg working with the group of Prof. Jean-Marc Schlenker, 2018-20.
Project leader of SPP2026 at Universität Heidelberg working with the group of Prof. Anna Wienhard, 2017-18.
MATCH fellow at Universität Heidelberg working with the group of Prof. Anna Wienhard, 2015-17.

Distinctions

Work cited in the International Congress of Mathematicians 2026 invited talk by Prof. Richard Canary.
Received Centre d'accueil et de Rencontres Mathématiques Internationales fellowship (CARMIN 2025) for six months to visit Institut des Hautes Études Scientifiques (IHES) and Institut Henri Poincaré (IHP).
Work cited in the International Congress of Mathematicians 2018 invited talk by Prof. Fanny Kassel.
Received one year research grant from German Research Foundation DFG under the program SPP2026 Geometry at Infinity.
Received Erasmus Mundus Scholarship from the European Union to attend ALGANT Masters programme.
Received INSPIRE Scholarship from the Department of Atomic Energy, Government of India for undergraduate studies.
Received Indian National Mathematical Olympiad (INMO 2006) Award from the National Board of Higher Mathematics, India and attended IMO Training Camp twice.

Education

Universite Paris Sud Ph.D. 2015.
Universite Paris Sud M2 2012.
Universita degli studi di Padova M1 2011.
Indian Statistical Institute B.Math. (Hons.) 2010.
RKM Vivekananda Centenary College H. Secondary 2007.
RKM Boys' Home High School Madhyamik (Secondary) 2005.

Talks

2026: Sikkim University.
2025: RMS Conference at IIIT (New Delhi), Ashoka-INSA joint Symposium, FJ-LMI Seminar (Tokyo), Drumm Conference (Maryland USA)*, Higher geometric structures seminar (IHP Paris).
2024: Gopal Prasad Conference (ICTS Bengaluru), SNU (Noida), FJ-LMI seminar (Tokyo), Geometry in Groups Conference (ICTS Bengaluru), RMS Conference at Christ (Bengaluru).
2023: Nice, Luxembourg, TIFR-CAM (Bengaluru), Infosys-Chandrasekharan Colloquium (TIFR Mumbai), HRI (Prayagraj), Delhi University (DDU College).
2022: ISI (Kolkata), TIFR-CAM (Bengaluru).
2020: TIFR, Ashoka, ISI (Bengaluru), Aussois.**
2019: Journées SL2R (Luxembourg), Higher Teichmüller theory (Pavia), AAN Symposium (Benasque), Nice.
2018: Luxembourg.
2017: Heidelberg-Karlsruhe, Potsdam (Berlin).
2016: Boundaries of groups and representations (WPI, Vienna), Luxembourg, IISc (Bengaluru), IMSc (Chennai), IRMA (Strasbourg).
2015: Presidency, ISI (Kolkata), TIFR (Mumbai), MSRI (Berkeley).
2014: Paroles aux jeunes chercheurs (Bordeaux), RKMVU (Belur).
2013: Orsay.

Visits

2026: MPI MIS (Leipzig)
2025: LMSI (Mumbai), IIIT (New Delhi), TIFR (Mumbai), Tokyo, Nice, IHES (Orsay), CIRM (Marseille), Brin Center (Maryland)*, IHP (Paris).
2024: ICTS (Bengaluru), Tokyo, Christ (Bengaluru).
2023: Nice, Luxembourg, IHES (Orsay), Zurich, TIFR-CAM (Bengaluru), TIFR (Mumbai), HRI (Prayagraj).
2022: ISI (Kolkata), TIFR-CAM (Bengaluru), ICTS (Bengaluru).
2020: HIM (Bonn), Braga, ICTS (Bengaluru), Aussois.**
2019: CIRM (Luminy), Pavia, Sete, Cetraro, Nice.
2018: ICTS (Bengaluru), Montevideo, Luxembourg, CIRM (Luminy).
2017: ICTS (Bengaluru), Potsdam, Stanford.
2016: WPI (Vienna), Snow Mountain (Colorado), CalTech (California).
2015: TIFR (Mumbai), Heidelberg, MSRI (Berkeley).
2014: Singapore, CRM de Giorgi (Pisa), Michigan (Ann arbor), Miraflores (Madrid), Heidelberg, IHES (Orsay), CIRM (Luminy).
2013: JNU (New Delhi), ICERM (Providence), Aarhus, ESI (Vienna).
2012: Toulouse, UIUC (Illinois), Autrans.

*the visa was not issued in time.
**cancelled due to Covid-19.

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