Indian Institute of Technology Jammu | Leading Engineering Institute for Future Innovators

Soumyadip Das

Assistant Professor

Brief Info

I am an Assistant Professor in Mathematics department, IIT Jammu.

After finishing my integrated MSc from NISER Bhubaneswar I joined ISI Bangalore as a PhD student under Prof. Manish Kumar. My PhD work was on understanding covers of curves in positive characteristic, leading to my dissertation `On the Inertia Conjecture and its Generalizations' that generalizes and provides numerous evidence for a long standing conjecture posed by Abhyankar. I was a visiting fellow at TIFR Mumbai from September 2020 to July 2022. Subsequently, I joined CMI with NBHM in August 2022, and transferred to ISI Kolkata in August 2023.

Research Interest

Algebraic Geometry. Specifically, Covers of Curves, Ramification Theory, Etale Fundamental Groups, Orbifold bundles and Moduli Problems.

Education Qualification

Integrated MSc in Mathematics, 2009-2014, National Institute of Science Education and Research Bhubaneswar, passing year: 2015. PhD in Mathematics, January 2015 - September 2022, Indian Statistical Institute Bangalore Centre, 2020. Visiting Fellow September 2020 - July 2022, Tata Institute of Fundamental Research Mumbai. NBHM Post Doctoral Fellow, August 2022 - July 2023, Chennai Mathematical Institute. NBHM Post Doctoral Fellow, August 2023 - December 2023, Indian Statistical Institute, Kolkata.

Academic Interests

Research Area: Algebraic Geometry. Specifically: Covers of Curves, Ramification Theory, Etale Fundamental Groups, Algebraic Stacks, Moduli Problems.

Teaching Interests
Algebra, Algebraic Geometry, Number Theory, Topology.

Teaching Engagements

2021 - Math 147, Guest Lecturer at UP Diliman, Philippines.

January 2023 - July 2023 - Topology II, Co-teaching, CMI, Chennai.

January 2024 - MA-1-02(TO), Linear Algebra and Differential Equations, IIT Jammu.

Research Experience

PhD work, Covers of Curves, 2015 - 2023, ISI Bangalore. Post Doctoral Experience, Algebraic Geometry, 2020-2022, TIFR Mumbai. NBHM Post Doctoral Fellow, Research and Teaching, Algebraic Geometry, 2022-2023, CMI. NBHM Post Doctoral Fellow, Algebraic Geometry, 2023-2023, ISI Kolkata.

Publications

(With Manish Kumar) On the Inertia Conjecture for Alternating group Covers, J. Pure Appl. Algebra, Volume 224, Issue 9, 106363, 2020.
(With Huy Dang, Kostas Karagiannis, Andrew Obus, Vaidehee Thatte) Local Oort Groups and the Isolated Data Criterion Journal des Th\'{e}orie de Nombres Bordeaux, vol. 34, no. 1, 251-269, 2022.
(With Indranil Biswas, A. J. Parameswaran) Genuinely ramified maps and stable vector bundles, Int. J. of Mathematics, vol. 33, no. 05, 2250039, 2022.
Galois Covers of Singular Curves in Positive Characteristics, To appear in Isr. J. Math, arXiv preprint, 2022.
On the Inertia Conjecture and its generalizations, Isr. J. Math., vol. 253, pages 157–204, 2023.
Towards the Generalized Purely Wild Inertia Conjecture for product of Alternating and Symmetric Groups, J. Pure Appl. Algebra, vol. 227, 6, 107299, 2023.
On the classification of the Covers of Stacky Curves Preserving Slope Stability, Submitted, arXiv preprint, 2022.
Modification of jumps in the ramification filtration, file available under request.
(With Souradeep Majumder) Construction of the Moduli Space of Orbifold Bundles, under preparation.

Awards & honours

Fellowships and Scholarships

INSPIRE fellowship for higher education, DST (2009-2014), Institute Postdoctoral Fellowship, TIFR Mumbai (2020-2022), NBHM Postdoctoral Fellowship (2022-2023)

Mathematics

soumyadip [DOT] das [AT] iitjammu [DOT] ac [DOT] in

Room 128, South Block, Indian Institute of Technology Jammu, Jagti Campus, Nagrota Bypass Road, Jammu & Kashmir, 181221, India

Discipline of