Curriculum Vitae
Name: Piotr Pragacz
Date of birth: 15 April 1954
Nationality: Polish
Married, with three children
Education:
1973 - 1975 N. Copernicus University
1976 - 1977 Warsaw University
1978 (November-December) Universite Paris 7
Qualifications:
1977 M. Sc., 1981 Dr Sc. (both N. Copernicus University)
1990 Habilitation "Degeneracy loci and symmetric functions"
(Institute of Mathematics,
Polish Academy of Sciences)
Full Professor of Mathematical Sciences (1997)
Post held:
1977 - 1979 Junior Assistent, N. Copernicus University
1979 - 1981 Assistent Lecturer, N. Copernicus University
1981 - 1991 Adjoint, Institute of Mathematics, Polish Academy of
Sciences
1983 -1984 (October-September) Professor of Louis Pasteur
University, Strasbourg
1991 - 1997 Associate Professor, Institute of Mathematics, Polish
Academy of Sciences
1991 (February-August) Professor of University of Bergen
1993 -1996 Visiting Researcher, Max-Planck-Institut fur
Mathematik, Bonn
1997 - present Professor at Institute of
Mathematics, Polish Academy of Sciences;
Head of Department of Algebra and Algebraic
Geometry (2000-2020)
Professor emeritus since 2020
2000-2001 (October-September) Visiting Researcher,
Max-Planck-Institut fur Mathematik, Bonn
2008-2009 (October-January) Visiting Professor of Kyoto
University
Visiting professor positions (at least for 1 month):
Universite Louis Pasteur Strasbourg 1981 (1 month), 1983 (1)
The University Roma Tor Vergata 1984 (1)
Brown University, Providence 1986 (3)
Universite Paris 7 1987 (1 ), 1990 (1)
UBC Vancouver 1989 (1)
KTH Stockholm 1989 (2)
The University of Bergen 1991 (6)
IHES Bures 1993 (1 )
Max-Planck-Institut fur Mathematik, Bonn 1993-1996 (36)
The University of Chicago 1996 (2)
Universite d'Angers 1997/1998 (1)
Max-Planck-Institut fur Mathematik, Bonn 2000-2001 (12 )
Academy of Mathematics and System Sciences, Chinese Academy
of Sciences, Beijing 2002 (1)
Max-Planck-Institut fur Mathematik, Bonn 2006 (3)
RIMS at Kyoto University, 2008 (4)
Shorter visits (partial
list):
Steklov Institute Moscow 1986, 1987, 1988
The University of Ferrara 1989
The University of Copenhagen 1989, 1990
The University of Bergen 1990
The University of Tromso 1990
National Polytechnic Institute, Mexico City 1990
Complutense University, Madrid 1992
Scuola Normale Pisa 1993, 1995
The University of Amsterdam 1995, 2000
ICTP Trieste 1995
The University Roma Tor Vergata 1997
Technion Haifa 1997
The University of Kagoshima 1998, 2008
Hokkaido University, Sapporo 1998
RIMS Kyoto 1998, 2011, 2013, 2014, 2016, 2019
Luminy 1999
Nankai University, Tianjin 1999
The University of Michigan 1999
North Carolina State University 2001
Newton Institute, Cambridge 2001
Romanian Academy of Sciences, Bucharest 2002
Sun Yat-sen University, Guangzhou 2002, 2017
METU Ankara 2004, 2006
Politecnico di Torino 2005, 2017
The University of Sao Paulo, Sao Carlos 2006, 2008, 2010
Tata Institute of Fundamental Research, Mumbai 2007, 2009, 2018
Nagoya University 2008
Institute of Mathematical Sciences, Chennai 2009
Feza Gursey Institute, Istanbul 2011
Hefei University of Science and Technology 2011
The University of Tokyo 2008, 2012, 2015, 2016, 2018
Osaka City University 2012
IMPA Rio de Janeiro 2015
Laboratory of Algebraic Geometry and its Applications HSE, Moscow
2015
Okayama University of Science 2016, 2019
Accademia Peloritana 2017, 2019
Alfred Renyi Institute of Mathematics, Budapest 2018
The Institute in Cargese 2019
Sapienza University of Rome 2019
Main research topics:
former:
- Determinantal ideals
- Syzygies
present:
- Symmetric functions - their generalizations and applications to
geometry
- B-modules with applications to geometry
- The geometry of the zero schemes of sections of vector
bundles; more generally:
- Degeneracy loci of vector bundle homomorphisms
- Cohomological properties of homogeneous spaces and Schubert
varieties
- Chern class formulas in algebraic geometry
- Gysin formulas
- Characteristic classes of singular spaces
- Thom polynomials of singularity classes
- Positivity phenomena in algebraic geometry
- Order of tangency
- Lojasiewicz exponent
Invited lectures (partial list):
Conference "Young tableaux and Schur functors in algebra and geometry", Torun 1980
Seminaire d'Algebre Dubreil-Malliavin, Paris 1984, 1988
Shafarevich Seminar, Steklov Institute Moscow 1986
Conference "Combinatorics, special functions and representation
theory",
Oberwolfach 1988
The Zeuthen Symposium, Copenhagen 1989
Algebraic Geometry Seminar, Oslo 1991
Max-Planck Institut fur Mathematik Bonn (MPI-Oberseminar or
Algebraic Geometry
Seminar) 1992, 1993, 1994, 1995, 1996, 2000, 2001, 2006
Le-Teissier Singularity Seminar (2 lectures), Ecole Normale
Superieure, Paris 1993
Algebra Seminar, Scuola Normale Pisa 1993, 1995
Summer School "Degeneracy loci and Schubert Varieties" (5),
Schloss Thurnau,
The University of Bayreuth 1995
Conference on Algebraic Geometry, ICTP Trieste 1995
Algebraic Geometry Seminar, The University of Chicago 1996
Algebraic Geometry Seminar, Weizmann Institute, Rehovot 1997
"International Conference on Intersection Theory", Bologna
1997, 1999
Conference "Singularities in Geometry and Topology", Sapporo 1998
Conference "Interaction of Combinatorics and Representation
Theory" (2),
RIMS Kyoto 1998
Algebraic Geometry Seminar, Nagoya University 1998
Conference "Renaissance of Combinatorics", Nankai University,
Tianjin 1999
Conference "The Heritage of I. Schur's 1901 Dissertation",
Gregynog Hall,
Newtown, Powys 2001
NSF/CBMS Conference on Algebraic Combinatorics, NCSU Raleigh, 2001
Colloquium, Beijing University 2002
Seminaire Lotharangien de Combinatoire "LascouxFest", St. Jacques
2004
Brieskorn's Singularity Seminar (2), Bonn University 2006
Conference "Real and Complex Singularities", Sao Carlos
2006, 2008
Colloquium, Tata Institute of Fundamental Research, Mumbai 2007
Algebraic Geometry Seminar, RIMS, Kyoto 2008, 2011, 2016, 2019
Algebraic Geometry Seminar, The University of Tokyo 2008, 2016
Conference "The Interplay of Algebra and Geometry", Cortona 2009
Conference "The Theory of Singularities", Hefei 2011
Conference "Arithmetic and Algebraic Geometry", The University of
Tokyo 2012
Conference "Schubert Calculus", 5th MSJ-SI ,
Osaka 2012
Lie Groups and Representation Theory Seminar, The University of
Tokyo 2015, 2016
Thematic Program on Algebraic Geometry, IMPA Rio de Janeiro 2015
Kazarian-Lando Seminar, Laboratory of Algebraic Geometry and its
Applications
HSE, Moscow 2015
Leopold Infeld Colloquium, Faculty of Physics, The University of Warsaw 2016
Algebraic Geometry Seminar of Hodge Institute, Edinburgh 2016
International Festival in Schubert Calculus, Sun Yat-sen
University, Guangzhou 2017
Alfred Renyi Institute of Mathematics, Budapest 2018
Conference:"Geometry, Local and Global" in honour of V.
Srinivas, TIFR, Mumbai 2018
Algebraic Geometry Conference in honour of T. Katsura, University
of Tokyo 2018
Conference:" Real and Complex Singularities" in honour of A.
Parusinski, Cargese 2019
Algebra and Geometry Seminar, Sapienza University of Rome 2019
Analytic Geometry Seminar, University of Lodz online talk 2020
Algebraic Geometry Seminar, Jagiellonian University online talk
2020, 2021
"Degeneracy loci and applications", Ohio State University online
talk 2021
Organizer of conferences, schools and research
groups:
"Parameter Spaces" (with D. Laksov and S.A. Stromme), Banach
Center, Warsaw,
January 31-February 5 1994
Algebraic Geometry Summer School of Bayreuth University (with W.
Fulton and
M. Schneider), Thurnau, Germany, June 19-23 1995
"Schubert Varieties" (with W. Fulton and A. Lascoux),
Mathematisches Forschungs-
Institut Oberwolfach, March 31-April 5 1997
"Algebraic Geometry Conference - Hirzebruch 70" (with M.
Schneider, M. Szurek and
J. Wisniewski), Banach Center, Warsaw, May 11-16 1998
Impanga School "Characteristic Classes of Singular Varieties"
(with A. Weber), Banach
Center, Warsaw, April 22-28 2002
Impanga School "Stratifications of Moduli Spaces" (with G.
Banaszak), Banach Center,
Warsaw, May 13-19 2002
Impanga School "Schubert varieties" (with A. Weber),
Banach Center, Warsaw, May
17-23 2003
"Algebraic Geometry, Algebra, and Applications" (co-chairman;
organizers: N. Manev
and V. Drensky), Borovetz, Bulgaria, September 23-October 3
2003
Impanga School "Moduli Spaces" (with A. Langer and H.
Tutaj-Gasińska), Banach
Center, Warsaw, April 25-May1 2005
"Antalya Algebra Days 2005" (with S. Sertoz et al.), Antalya,
Turkey, May 18-22 2005
Impanga 100 Session "Algebraic cycles and motives", Banach Center,
Warsaw,
October 28-29 2005
Impanga School " Holomorphic symplectic singularities" (with
S. Cynk and
T. Szemberg), Banach Center, Warsaw, April 24-29 2006
Impanga Summer School on Algebraic Geometry (with H.
Tutaj-Gasińska et al.),
Banach Center, Będlewo, July 4-10 2010
Impanga Research Group "The ubiquity of Wronskians" (with G.
Kapustka),
Banach Center, Warsaw, October 11-18 2011
Impanga Research Group "Okounkov bodies and Nagata type
conjectures" (with
A. Kuronya and T. Szemberg), Banach Center, Warsaw,
September 22-28, 2013
Impanga Workshop "Projective geometry and syzygies" (with
K. Han, M. Kapustka
and S. Kwak), Banach Center, Warsaw, April 9-10, 2015
Impanga Workshop "Periods and Ricci flat manifolds" (with M.
Donten-Bury,
G. Kapustka, M. Kapustka, G. Mongardi) Banach Center, Warsaw,
September
11-15, 2017
Conference IMPANGA 20 on Schubert varieties (with Ch. Eyral, G.
Kapustka,
M. Kapustka, H. Tutaj-Gasińska) Banach Center Będlewo, and
online,
July 11-17, 2021
Ph.D. students supervised:
Jan Ratajski (IM PAN, Warsaw 1996): "Schubert
calculus for symplectic and
orthogonal flag varieties"
Ozer Ozturk (IM PAN, Warsaw 2010): "Selected topics on Thom
polynomials and
vector bundles"
Master degree leading to publications:
Witold Kraskiewicz (N. Copernicus Univ., Torun 1982): " The
Chow ring of a
Grassmannian"
Seminars and advanced courses (partial list):
The founder of the IMPANGA Seminar, its
organizer 2000 -2010, and 2011-12;
co-organizer 2012-21; starting from 2020, Honorary
Chairman of Impanga
Co-organizer of IM PAN Colloquium for Ph.D.
students, Warsaw 2000-2010
Lecturer on Schubert polynomials at the University of Bergen
(1991)
Lecturer on Schubert calculus for Ph.D. students at Warsaw
University
(the early 1990s)
Lecturer on intersection theory for Ph.D. students at
Jagiellonian University in Cracow
and Warsaw University (2001-2002)
SSDNM-lecturer
at Adam Mickiewicz University in Poznan and Jagiellonian
University (2012-2013)
Five lectures at Sapienza University of Rome on Gysin formulas,
November 2019
Society Membership
formerly: Polish Mathematical Society and American Mathematical
Society;
present: Mathematical Society of Japan (since 2014)
Editing:
- an editor of the journal: "Fundamenta Mathematicae"
(2004 - 2021)
- an editor of the journal: "Serdica Mathematical Journal" (2004
- )
- an editor of the book series "Monografie Matematyczne"
(=mathematical monographs)
edited by IM PAN and Birkhauser-Verlag (2000 - )
Jury:
Member of the Jury of the Kuratowski Award:
1987-1990 (chair 1989-1990)
Member of the Jury of the IM PAN Prize: 2009-2012
Scholarships:
Supported by a scholarship of Alexander von Humboldt
Foundation during the
stays at Max-Planck-Institut fur Mathematik in Bonn in 1993, 1994
and 2006
Supported by
Max-Planck-Institut fur Mathematik in Bonn during the stays
there in 1995, 1996, 2000 and 2001
Grants:
Supported by an NSF grant during a 3 months stay at Brown
University in 1986,
an NSF grant during a 2 months stay at the University of
Chicago in 1996,
an NSERC grant during a 1 month stay at the UBC
University in Vancouver
in 1989
Supported by KBN grants 1993-2007, an MNiSzW grant
2011-2014, and the
NCN grant 2014/13/B/ST1/00133 (2015-2018)
The names of received
mathematical awards:
The Kazimierz Kuratowski Award for 1984
The Mathematics Prize of the Third Division of Polish Academy of
Sciences for 1990
The Waclaw Sierpinski Prize of
Polish Mathematical Society for 1990
Fellowships, Honors:
Alexander von Humboldt Fellowship 1993-1995 at
Max-Planck-Institut
fur Mathematik in Bonn with Friedrich Hirzebruch as my host
professor
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Special scientific session dedicated to me on the
occasion of my 60th birthday,
Banach Center Bedlewo, 14.04.2015 (a part of the
conference "IMPANGA 15")
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Mathematical papers dedicated to me for my 60th birthday by:
D. Anderson and W. Fulton
(arXiv:1504.03615; Compositio 2018)
A. Iliev, G. Kapustka, M. Kapustka and K. Ranestad
(arXiv:1505.02389v2; Crelle's J. 2019)
and
R. Rimanyi and A. Varchenko
T. Sasajima and T. Ohmoto
T. Katsura
L. Maxim and J. Schuermann
S. Yokura
L. Gatto and P. Salehyan
M. Zielenkiewicz
(in "Schubert varieties, equivariant cohomology and
characteristic classes,
Impanga 15", Series of Congress Reports, EMS, 2018)
I was appointed Corresponding Member of
Accademia Peloritana dei Pericolanti,
Messina 20 May, 2016.
Seminar IMPANGA 423 on 08.10.2021 was dedicated to my
retirement. After some words of the Director Ł. Stettner,
we had talks: "Flag bundles, Segre polynomials and push forwards"
by L. Darondeau and "Periods of EPW cubes" by M.Kapustka.
Moreover, Ch. Eyral and L. Darondeau wrote articles on this
occasion
(see "20 years of IMPANGA" [NEWSLETTER of IMPAN 14 (2021) 18-19]
and "Isotropic Kempf-Laksov flag bundles"
[arXiv:2111.15245].
Comments of P. Achinger, J. Buczynski and T. Szemberg were
very valuable.
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(20.10.2021)