Mihnea Popa

File:Mihnea Popa Oberwolfach 2017.jpg in 2017]]

Mihnea Popa (born 11 August 1973) is a Romanian-American mathematician at Harvard University, specializing in algebraic geometry.{{cite web|title=Mihnea Popa, C.V.|website=Department of Mathematics, Harvard University|url=http://www.math.harvard.edu/~mpopa/mini_CV.pdf}} He is known for his work on complex birational geometry, Hodge theory, abelian varieties, and vector bundles.

Academic career

Popa received his bachelor's degree in 1996 from the University of Bucharest. He studied mathematics at the University of California, Los Angeles from 1996 to 1997, and then in 2001 he received his Ph.D. from the University of Michigan under the supervision of Robert Lazarsfeld. His thesis was titled Linear Series on Moduli Spaces of Vector Bundles on Curves.{{MathGenealogy|id=59931}} From 2001 to 2005, Popa was a Benjamin Peirce Assistant Professor at Harvard University and from 2005 to 2007 an assistant professor at the University of Chicago. He joined the University of Illinois at Chicago as an associate professor in 2007 and became a full professor in 2011. In 2014 he moved to Northwestern University, and in 2020 he became a professor at Harvard University.{{Cite web|date=2020-06-23|title=Math Department announces three new faculty members|url=https://news.harvard.edu/gazette/story/2020/06/math-department-announces-three-new-faculty-members/|access-date=2020-08-29|website=Harvard Gazette|language=en-US}}

Awards and honors

Popa is an honorary member of the Institute of Mathematics of the Romanian Academy.{{cite web|title=IMAR Honorary Members|website=Institute of Mathematics of the Romanian Academy| url=http://www.imar.ro/organization/people/honoraryMembers.php}} He was an AMS Centennial Fellow in 2005–2007, a Sloan Research Fellow in 2007–2009, and a Simons Fellow in 2015–2016. In 2015 he became a fellow of the American Mathematical Society.[https://www.ams.org/profession/fellows-list List of Fellows of the American Mathematical Society] In 2018 he was an Invited Speaker at the International Congress of Mathematicians in Rio de Janeiro.D-modules in birational geometry, ICM 2018, [https://arxiv.org/abs/1807.02375 Arxiv]

Selected publications

{{cite journal| first1= Giuseppe|last1= Pareschi|first2=Mihnea|last2=Popa| title=Regularity on abelian varieties I|journal= Journal of the American Mathematical Society|volume= 16|year= 2003|issue= 2|pages=285–302| arxiv=math/0110003|mr=1949161|doi=10.1090/S0894-0347-02-00414-9|s2cid= 15351749}}
{{Cite journal|last1=Farkas|first1=Gavril|last2=Popa|first2=Mihnea|year=2005|title=Effective divisors on $\overline{\mathcal{M}}_g$ , curves on K3 surfaces, and the slope conjecture|url=https://www.ams.org/journal-getitem?pii=S1056-3911-04-00392-3|journal=Journal of Algebraic Geometry|volume=14|issue=2|pages=241–267|doi=10.1090/S1056-3911-04-00392-3|arxiv=math/0305112|mr=2123229|s2cid=1659630}}
{{Cite journal|last1=Ein|first1=Lawrence|author1-link=Lawrence Ein| last2=Lazarsfeld|first2=Robert|author2-link=Robert Lazarsfeld|

last3=Mustață|first3=Mircea|author3-link=Mircea Mustață|

last4=Nakamaye|first4=Michael|last5=Popa|first5=Mihnea|year=2006|title=Asymptotic invariants of base loci|url=https://aif.centre-mersenne.org/item/AIF_2006__56_6_1701_0/|journal=Annales de l'Institut Fourier|volume=56|issue=6|pages=1701–1734|doi=10.5802/aif.2225|arxiv=math/0308116|mr=2282673|s2cid=33125067}}

{{Cite journal|last1=Lazarsfeld|first1=Robert|author1-link=Robert Lazarsfeld|

last2=Popa|first2=Mihnea|year=2010|title=Derivative complex, BGG correspondence, and numerical inequalities for compact Kähler manifolds| journal=Inventiones Mathematicae|volume=182|issue=3|pages=605–633|doi=10.1007/s00222-010-0269-4|arxiv=0907.0651|bibcode=2010InMat.182..605L|mr=2737707|s2cid=667056}}

{{Cite journal| last1=Popa|first1=Mihnea|last2=Schnell|first2=Christian|year=2013|title=Generic vanishing theory via mixed Hodge modules| url=https://www.cambridge.org/core/product/identifier/S2050509413000017/type/journal_article|journal=Forum of Mathematics, Sigma| volume=1|pages=Paper No. e1, 60 pp|doi=10.1017/fms.2013.1| arxiv=1112.3058|mr=3090229|s2cid=26554421}}
{{Cite journal|last1=Popa|first1=Mihnea|last2=Schnell|first2=Christian| year=2014|title=Kodaira dimension and zeros of holomorphic one-forms| url=https://annals.math.princeton.edu/2014/179-3/p06|journal=Annals of Mathematics|volume=179|issue=3|pages=1109–1120| doi=10.4007/annals.2014.179.3.6|arxiv=1212.5714|mr=3171760|s2cid=8073319}}
{{Cite journal|last=Popa|first=Mihnea|year=2016|title=Kodaira–Saito vanishing and applications|url=http://www.ems-ph.org/doi/10.4171/LEM/62-1/2-5|journal=L'Enseignement mathématique|volume=62|issue=1|pages=49–89|doi=10.4171/LEM/62-1/2-5|arxiv=1407.3294|mr=3605809|s2cid=32670893}}
Positivity for Hodge modules and geometric applications, in [https://books.google.com/books?id=R05IswEACAAj Proceedings of Symposia in Pure Mathematics, Vol. 97, Part I, Algebraic Geometry: Salt Lake City 2015], pp. 555–584. {{arxiv|1605.08093}}
{{Cite journal|last1=Mustață|first1=Mircea|author1-link=Mircea Mustață|last2=Popa|first2=Mihnea|year=2019|title=Hodge Ideals|url=https://www.ams.org/memo/1268/|journal=Memoirs of the American Mathematical Society|volume=262|issue=1268|pages=v+80 pp|doi=10.1090/memo/1268|arxiv=1605.08088|mr=4044463|isbn=978-1-4704-3781-7|s2cid=119700627}}
{{cite journal | last1=Popa | first1=Mihnea | last2=Schnell | first2=Christian | title=Viehweg's hyperbolicity conjecture for families with maximal variation | journal=Inventiones Mathematicae | publisher=Springer Science and Business Media LLC | volume=208 | issue=3 | date=18 October 2016 | issn=0020-9910 | doi=10.1007/s00222-016-0698-9 | pages=677–713| arxiv=1511.00294 | s2cid=34920237 }}
{{cite journal | last1=Pareschi | first1=Giuseppe | last2=Popa | first2=Mihnea | last3=Schnell | first3=Christian | title=Hodge modules on complex tori and generic vanishing for compact Kähler manifolds | journal=Geometry & Topology | publisher=Mathematical Sciences Publishers | volume=21 | issue=4 | date=19 May 2017 | issn=1364-0380 | doi=10.2140/gt.2017.21.2419 | pages=2419–2460| arxiv=1505.00635 | s2cid=20275751 }}
{{cite journal |last1=Mustață|first1=Mircea|author1-link=Mircea Mustață|last2=Popa|first2=Mihnea | title=Hodge Ideals for -Divisors, -Filtration, and Minimal Exponent | journal=Forum of Mathematics, Sigma | publisher=Cambridge University Press (CUP) | volume=8 | year=2020 | issn=2050-5094 | doi=10.1017/fms.2020.18| s2cid=218780383 | doi-access=free }}