Curriculum Vitae: Mailing Address
Curriculum Vitae: Mailing Address
Curriculum Vitae: Mailing Address
Omprokash Das
Mailing Address
School of Mathematics
Tata Institute of Fundamental Research, Mumbai
Homi Bhabha Road, Navy Nagar
Colaba, Mumbai, Maharashtra 400005, India
Email: omdas@math.tifr.res.in
Positions
Reader Since July 2019 Tata Institute of Fundamental Research, Mumbai
Assistant Adjunct Professor July 2016– June 2019 University of California, Los Angeles.
Visiting Fellow August 2015– June 2016 Tata Institute of Fundamental Research, Mumbai.
Education
PhD 2009–2015 University of Utah, USA.
M.Sc. 2007–2009 TIFR-CAM, Bangalore, India.
B.Sc. Honors in Mathematics 2004-2007 Presidency College, Calcutta, India.
Thesis
• “Adjunction and Inversion of Adjunction in Positive Characteristic”, PhD Thesis.
Thesis advisor: Prof. Christopher Hacon.
Publications
1. On Strongly F -regular Inversion of Adjunction, arXiv:1310.8252 [math.AG], 2013.
Journal of Algebra 434(2015), 207-226, MR3342393, DOI: 10.1016/j.jalgebra.2015.03.025.
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3. The F -Different and a Canonical Bundle Formula, arXiv:1508.07295 [math.AG], 2015.
Joint with Karl Schwede. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XVII (2017),
1173-1205; MR3726839, DOI: 10.2422/2036-2145.201510 012.
4. On the Abundance Problem for 3-folds in Characteristic p > 5, arXiv:1610.03403
[math.AG], 2016. Joint with Joe Waldron. Mathematische Zeitschrift, 292 (2019), no.
3-4, 937–946; MR3980278. DOI: 10.1007/s00209-018-2110-5.
5. Finiteness of Log Minimal Models and Nef Curves on 3-Folds in Characteristic p >
5, arXiv:1711.10901 [math.AG, 2017]. Nagoya Mathematical Journal, 239 (2020),
76–109; MR4138896. DOI: 10.1017/nmj.2018.28.
6. Appendix A: Contracting the Section of a Weierstrass Threefold, an appendix to the
‘Bridgeland Stability on Blow Ups and Counterexamples’ by Cristian Martinez and
Benjamin Schmidt, arXiv:1708.08567 [math.AG], 2017. Mathematische Zeitschrift,
292 (2019), no. 3-4, 1509–1510; MR3980301. DOI: 10.1007/s00209-018-2149-3.
7. On the Boundedness of Anti-Canonical Volumes of Singular Fano 3-Folds in Char-
acteristic p > 5, arXiv:1808.02102 [math.AG]. International Mathematics Research
Notices, 2021, no. 9, 6848–6870; DOI: 10.1093/imrn/rnz048.
8. Kawamata-Viehweg Vanishing Theorem for del Pezzo Surfaces over Imperfect Fields
of Characteristic p > 3, arXiv:1709.03237 [math.AG], 2017. Osaka Journal of Mathe-
matics, 58 (2021), no. 2, 477–486.
9. Boundedness of Log-Pluricanonical Maps for Surfaces of Log-General Type in Positive
Characteristic, arXiv:2003.13324 [math.AG], 2020. Accepted for publication in the
Osaka Journal of Mathematics.
Preprints
1. On the Log Minimal Model Program for 3-folds over Imperfect Fields of Characteristic
p > 5, arXiv:1911.04394 [math.AG], 2019. Joint with Joe Waldron. Submitted.
2. The Log Minimal Model Program for Kähler 3-Folds, arXiv:2009.05924 [math.AG].
Joint with Christopher Hacon. Submitted.
3. On the Log Abundance for Compact Kähler 3-Folds, arXiv:2201.01202 [math.AG].
Joint with Wenhao Ou. Submitted.
Preprints in Preparation
1. On the Minimal Model Program for Kähler 4-Folds. Joint with Christopher Hacon.
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• AMS-Simons Travel Grant Award, 2016–2018.
• INSPIRE Faculty Award, Session II, 2015, DST, Government of India.
• Merit Scholarship from Presidency College during Undergraduate Studies.
Teaching
• At the UCLA I taught the following courses: Advanced topics in Algebraic Geome-
try, Upper division Linear Algebra (Math 115A), Foundation of Real Analysis (Math
131A), Calculus of Several Variables (Math 32A and Math 32B), Linear Algebra and
Applications (Math 33A), Pre-Calculus (Math 1), ODE with Linear Algebra for Life
Sciences (Math 3C).
• At the University of Utah I taught the following courses: Calculus I (Math 1210),
Quantitative Analysis (Math 1100), College Algebra (Math 1050), Trigonometry (Math
1060), Introduction to Quantitative Reasoning (Math 1030).
Invited Talks
• Weak-Boundedness of Fano 3-folds in characteristic p > 5, Advances in Birational
Geometry, AMS Sectional Meeting, Fall 2018, University of Arkansas.
• Kawamata-Viehweg vanishing theorem for del Pezzo surfaces over imperfect fields in
characteristic p > 3, Special Session in Algebraic Geometry, II, AMS Sectional Meet-
ing, University of California, Riverside, November 5, 2017.
• Birational geometry of surfaces and threefolds over imperfect fields, Algebraic Geom-
etry Seminar, University of California, Santa Diego, 2017.
• On the abundance problem in positive characteristic, Algebraic Geometry Seminar,
University of California, Santa Barbara, 2016.
• On the abundance problem in positive characteristic, Algebraic Geometry Seminar,
University of California, Riverside, 2016.
• On the abundance problem in positive characteristic, Algebraic Seminar, University of
California, Los Angeles, 2016.
• A Glimpse of Higher Dimensional Minimal Model Program, Mini Lecture Series (3
lectures), Tata Institute of Fundental Research, December 2015.
• Higher Dimensional Minimal Model Program or Mori Program in Characteristic p > 0,
Mathematics Seminar, Indian Statistical Institute, November 2015.
• Adjunction and Inversion of Adjunction Properties of MMP Singularities and F-
singularities in Positive Characteristic, Mathematics Colloquium, Tata Institute of
Fundamental Research, November 2015.
• What is Minimal Model Program (MMP)? at the Student Seminar at Tata Institute
of Fundamental Research, August 2015.
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• Adjunction and Inversion of Adjunction in Positive Characteristic, Algebraic Geome-
try Seminar, Johns Hopkins University, Spring 2015.
• Presented poster on On the Adjunction formula on 3-folds in characteristic p > 0 at
the Wester Algebraic Geometry Symposium at the University of Idaho, Fall 2014.
Conference Attended
• AMS Sectional Meeting at the University of California, Riverside.
• AMS Summer Institute in Algebraic Geometry at the University of Utah, July 21-
August 1, 2015.
• Graduate Student Bootcamp for the AMS Summer Institute in Algebraic Geometry
at the University of Utah, July 6-10.
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• Western Algebraic Geometry Symposium (WAGS) at the Harvey Mudd College, Spring
2013.
• Western Algebraic Geometry Symposium (WAGS) at the University of Utah, Fall
2012.
Organizational Activities
• I am a co-organizer of this year’s Southern California Algebraic Geometry Symposium
(SoCalAGS), which will be held at the University of California, Los Angeles, Fall 2018.
• I was one of co-organizers of the Western Algebraic Geometry Symposium (WAGS)
held at the UCLA, Fall 2017. I was also the main organizer for the poster session in
the same conference.
• In Spring 2017 I organized the UCLA Reading Seminar: ‘Log canonical minimal model
program in higher dimensions.’
References
• Christopher Hacon, University of Utah. Email: hacon@math.utah.edu.
• Burt Totaro, University of California, Los Angeles. Email: totaro@math.ucla.edu.