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Dr. Ivan B. Penkov

Adjunct Professor of Mathematics
School of Science
Constructor University Bremen gGmbH, Campus Ring 1 28759 Bremen Germany
Phone number
+49 421 200-3219
Fax number
+49 421 200-3103
Email Address
ipenkov@constructor.university
Office
Research I, Room 126
Research Interests

Representations of finite and infinite dimensional Lie algebras, generalized Harish-Chandra modules, representations of Lie superalgebras and Lie supergroups, geometry of supermanifolds, homogeneous superspaces, super D-modules, homogeneous ind-spaces and geometry of ind-varieties.

 

In our group, we research three interconnected core areas in pure mathematics. For the last three decades, Prof. Ivan Penkov has had a broad research programme in Lie theory, algebra, and geometry. He and his research group are working in close collaboration with research groups in the United States at Yale University; the University of California, Berkeley; the University of Texas in Arlington; and the University of Buffalo. Penkov’s research group maintains close working contacts with the Max Planck Institute of Mathematics in Bonn, as well as with the University of Hamburg, the University of Cologne, and the Ruhr University in Bochum. His research has been funded continuously by multiple DFG projects for the last 15 years.

University Education

June 1982, Master Degree in Mathematics, Moscow State University. Thesis: The inverse Penrose transform

 

Oct. 1987, Candidate of Physical and Mathematical Sciences (Ph.D.), Steklov Mathematical Institute. Thesis: Typical modules over  classical Lie superalgebras and their geometric realization

 

Fellowships and Awards

1991--1995

NSF research grant jointly with R.E.Block and V.Chari.

1995

NSF grant for organizing the conference in honor of R.E.Block (jointly with V.Chari).

1995

Grant from the Erwin Schr\"odinger Institute for the program ``Representation Theory with Applications to Mathematical Physics'' (jointly with Joseph A. Wolf).

1996

NSF grant for support of US graduate students at the Erwin Schr\"odinger Institute.

1995--1997

NSF research grant.

1997--2002

NSF Group Infrastructure Grant ``Lie Groups, Lie Algebras and Their Representations'' (jointly with Joseph A. Wolf and Geoffrey Mason).

Jan--May, 2002

Coorganizer of the one-semester MSRI Program ``Representations of Infinite Dimensional Algebras and Mathematical Physics'' (jointly with Edward Frenkel, Victor Kac, Vera Serganova and Gregg Zuckerman).

April 2002

Coorganizer of the MSRI Workshop ``Quantum field theory and supersymmetry''.

Sept. 2003

Coorganizer of the workshop ``Locally finite Lie algebras'' at the Banff Research Institute, Canada.

2003--2006

NSF Grant ``Lie Groups, Lie Algebras and Their Representations'' (jointly with Joseph A. Wolf and Geoffrey Mason).

2009--2012

DFG grant (one postdoc position).

2009

Volkswagen Foundation grant for organizing the summer school "Structures in Lie Representation Theory" (jointly with A. Joseph and A. Melnikov).

2009--2015

DFG grant within the Schwerpunktprogramm 1388 "Darstellungstheorie"

2012--2013

DFG grant for German-Israeli cooperation

2012--2015

DFG grant within the priority program "SPP 1388 Darstellungstheorie"

2015--2016

AIM SQuaRE grant

2015--2018

DFG grant (3/4 postdoc position).

2018--2020

DFG grant (one postdoc position).

2020--2023

DFG grant (one postdoc position).

2023

Batsheva de Rothschild Fellow, Israel.

2023--2025

DFG grant (3/4 postdoc position).

 

Research and Teaching Positions

1982-1983

Research Assistant, Institute of Mathematics Bulgarian Academy of Sciences, Sofia

May-June 1986

Visiting Professor at Institute Fourier, Grenoble, France

1987-1989

Research Fellow, Section of Algebra, Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria

Oct. 1989

Visiting Professor at the University of Paris VII, France

Jan.-Dec. 1990

Visiting Assistant Professor, Department of Mathematics, University of California at Berkeley

June-July 1990

Visiting Scholar at the University of Göttingen, Germany

Jan.-June 1991

Visiting Assistant Professor, Department of Mathematics, University of California at Davis

1991-June 93

Assistant Professor, Department of Mathematics, University of California at Riverside

Sept.- Oct. 1993

Visiting Scholar at the Erwin Schrödinger Institute, Vienna, Austria

July 1993-June 00

Associate Professor (tenured appointment), Department of

 

Mathematics, University of California at Riverside

Apr.–May 1996

Visiting Scholar and Program Organizer at The Erwin Schrödinger Institute, Vienna, Austria

June 1996

Visiting Scholar at the Max-Planck Institute of Mathematics, Bonn, Germany June

1997

Visiting Professor at the University of Burgundy Dijon, France

Sept. 1997

Visiting Professor at the University Louis Pasteur, Strasbourg, France

Aug.-Sept. 1998

Visiting Scholar at the Max-Planck Institute of Mathematics, Bonn, Germany

Nov. 1999

Visiting Professor at the University of Hamburg, Germany

April-June 2000

Visiting Scholar at the Max-Planck Institute of Mathematics, Bonn, Germany

July 2000 - Oct 04

Professor (tenured appointment), Department of Mathematics, University of California at Riverside

Aug.-Sept. 2001

Visiting Scholar at the Max-Planck Institute of Mathematics, Bonn, Germany

Jan.-March 2002

Program organizer and MSRI scholar, MSRI, Berkeley

Aug.-Sept. 2002

Visiting Scholar at the Max-Planck Institute of Mathematics, Bonn, Germany

Fall 2003

Visiting Professor at Yale University

Spring 2004

Visiting Scholar at the Max-Planck Institute of Mathematics, Bonn, Germany

Fall 2007

Visiting Professor at University of California at Berkeley

  

Spring 2012

Visiting Professor at Yale University

Fall 2012

Visiting Scholar at the Max-Planck Institute of Mathematics, Bonn, Germany

Nov.-Dec. 2018

Visiting Scholar at the Weizmann Institute of Science, Rehovot, Israel

Nov. 2019

Visiting Professor at the University of Padua, Italy

Fall 2004 -- Spring 2023

Professor, Jacobs University Bremen, Germany (named International University Bremen before 2007)

Spring 2023 -- present

Adjunct Professor, Constructor University Bremen, Germany (named Jacobs University Bremen before 2023)

 

Other Professional Activities

1991--2006: Founding coorganizer of the California Lie Theory Program, a cooperation program in Lie Theory between the campuses of the University of California.

2004-- : Coorganizer of the Program ”Darstellungstheorie, Transformationsgruppen und Mathematische  Physik Eof the consortium of six universities: Jacobs University Bremen, University of Bochum, University of Erlangen, University of Hamburg, University of Koeln, and University of Paderborn.

2005: Coorganizer of the conference in honor of Yu. I. Manin at the Max Planck Institute for Mathematics, February 2005.

2005: Coorganizer of the International Conference in Honor of R.O. Wells, Jr., Jacobs University Bremen (formerly IUB), December 1-2, 2005.

2010: Coorganizer of the International Conference in "Infinite-dimensional Lie Algebras" in Newfoundland, Canada

2011: Coorganizer of the conference "Lie Groups" in honor of J.A. Wolf, Bochum, Germany

2012: Coorganizer of the German-Israeli workshop "Symplectic Geometry with applications to Representation Theory" at Jacobs University, Bremen, Germany

2012: Organizer of the meeting "7 1/2" in honor of Yu. I. Manin at IHES, Bures sur Yvette, France

2013: Organizer of a conference in honor of V. Tsanov, Sofia, Bulgaria.

2014: Coorganizer of the annual meeting in Soltau of the priority program ``SPP 1388 Darstellungstheorie''.

2014: Coorganizer of the meeting ``Hodge theory and unitary representations of reductive Lie groups'', Jacobs University Bremen.

2015: Coorganizer of the meeting ``Groups and Rings Theory and Applications'', July 15-22, Sofia, Bulgaria.

2019: Coorganizer of the meeting `` Perspectives on representations of semisimple Lie algebras: A workshop in honor of Gregg Zuckerman on the occasion of his 70th birthday'', May 22-24, Bochum, Germany.