Curriculum Vitae
Academic positions, education, publications, talks, teaching, and professional activities.
Current Position
Position
Associate Professor, School of Mathematics, Tata Institute of Fundamental Research, Mumbai
Research
Algebraic geometry; birational and bimeromorphic geometry; Minimal Model Program; compact Kähler varieties; abundance
Office
A357, School of Mathematics, TIFR · +91-22-22782208
Email
omdas [at] math.tifr.res.in
Previous Positions
2016–2019
Assistant Adjunct Professor, University of California, Los Angeles
2015–2016
Visiting Fellow, Tata Institute of Fundamental Research, Mumbai
Education
PhD, 2015
University of Utah · Thesis: Adjunction and Inversion of Adjunction in Positive Characteristic · Advisor: Christopher Hacon
MSc, 2009
TIFR-CAM, Bangalore
BSc (Hons.), 2007
Presidency College, Calcutta
Publications and Preprints
Listed in reverse chronological order by first arXiv appearance.
- Transcendental Minimal Model Program for Projective Varieties
- ACC for LC Thresholds for Algebraically Integrable Foliations
- A Basepoint Free Theorem for Algebraically Integrable Foliations
- On the Minimal Model Program for Kähler 3-Folds
- On the Log Abundance for Compact Kähler Threefolds II
- MMP for Generalized Pairs on Kähler 3-Folds
- Existence of Good Minimal Models for Kähler Varieties of Maximal Albanese Dimension
- On the 4-Dimensional Minimal Model Program for Kähler Varieties
- On the Log Abundance for Compact Kähler Threefolds
- The Log Minimal Model Program for Kähler 3-Folds
- Boundedness of Log-Pluricanonical Maps for Surfaces of Log-General Type in Positive Characteristic
- On the Log Minimal Model Program for Threefolds over Imperfect Fields of Characteristic p > 5
- On the Boundedness of Anti-Canonical Volumes of Singular Fano 3-Folds in Characteristic p > 5
- Finiteness of Log Minimal Models and Nef Curves on 3-Folds in Characteristic p > 5
- Kawamata–Viehweg Vanishing Theorem for del Pezzo Surfaces over Imperfect Fields of Characteristic p > 3
- Appendix A: Contracting the Section of a Weierstrass Threefold
- On the Abundance Problem for 3-Folds in Characteristic p > 5
- The F-Different and a Canonical Bundle Formula
- On the Adjunction Formula for 3-Folds in Characteristic p > 5
- On Strongly F-Regular Inversion of Adjunction
Invited and Conference Talks
- Survey on the Minimal Model Program for Kähler Varieties
- Invited speaker, Higher Dimensional Algebraic Geometry
- Transcendental base-point freeness and minimal models for projective varieties
- Transcendental base-point freeness and minimal models for projective varieties
- Recent developments in the Minimal Model Program for Kähler varieties
- Recent developments in the Minimal Model Program for Kähler varieties
- Generalized MMP for Kähler Varieties
- MMP for Kähler 4-folds
- Log Minimal Model Program for Kähler 3-folds
- Minimal Model Program
- Minimal Model Program
- Weak-Boundedness of Fano 3-folds in characteristic p > 5
- Weak-Boundedness of Fano 3-folds in characteristic p > 5
- Weak-Boundedness of Fano 3-folds in characteristic p > 5
- Kawamata–Viehweg vanishing theorem for del Pezzo surfaces over imperfect fields in characteristic p > 3
- Birational geometry of surfaces and threefolds over imperfect fields
- On the abundance problem in positive characteristic
- On the abundance problem in positive characteristic
- On the abundance problem in positive characteristic
- A Glimpse of Higher Dimensional Minimal Model Program
- Higher Dimensional Minimal Model Program or Mori Program in Characteristic p > 0
- Adjunction and Inversion of Adjunction Properties of MMP Singularities and F-singularities in Positive Characteristic
- What is Minimal Model Program (MMP)?
- Adjunction and Inversion of Adjunction in Positive Characteristic
- On the Adjunction formula on 3-folds in characteristic p > 0
- On Strongly F-Regular Inversion of Adjunction
- On Strongly F-Regular Inversion of Adjunction
- On Strongly F-Regular Inversion of Adjunction
Grants and Awards
- 2020–2022 — Start-up Research Grant (SRG), SERB, Government of India, Grant No. SRG/2020/000348
- 2018 — Merit Upgrade, UCLA
- 2016–2018 — AMS–Simons Travel Grant Award
- 2015 — INSPIRE Faculty Award, DST, Government of India
Advising and Mentoring
- Current PhD student: Swapnajit Das, Tata Institute of Fundamental Research, Mumbai
- Current Postdoc: Sudipta Das, 2024–2026
- MSc thesis: Advait Nair, The UM-DAE Centre for Excellence in Basic Sciences (CEBS), 2024
- MSc thesis: Roktim Mascharak, Tata Institute of Fundamental Research, Mumbai, 2023
- Former PhD mentoring: Roktim Mascharak, Tata Institute of Fundamental Research, Mumbai (approximately 1.5 years)
- Postdoctoral mentoring: Priyankur Chaudhuri, 2022–2023
Teaching
Graduate and topics courses at TIFR and TIFR-CAM. See the Teaching page for course materials.
Professional Service and Organization
- December 2025 — Convener, NCM Workshop on Toric Varieties, Kerala School of Mathematics
- Fall 2024 — Co-organizer, TIFR Algebraic Geometry Preprint Seminar
- Summer 2023 — Organizer, NCM/AIS School on Topics in Birational Geometry
- 2022 — Co-organizer, VSRP, with Eknath Ghate
- April 2020–May 2022 — Co-organizer, Zoom Algebraic Geometry Seminar (ZAGS)
- March 2020–December 2021 — Colloquium Chair, School of Mathematics, TIFR