Yevgenia Kashina
Department of Mathematical Sciences
DePaul University
2320 North Kenmore Ave.
Chicago, IL, 60614
Education:
Employment:
Publications:
-
On the order of the antipode of Hopf algebras in the Yetter-Drinfeld
category, Communications in Algebra, vol. 27 (1999),
no. 3, 1261--1273 (dvi file),
(Postscript
file), abstract (html file)
-
On the order of the antipode of Hopf algebras in the Yetter-Drinfeld
category, abstract of the talk, Kurosh Algebraic Conference '98
Abstracts of Talks, Moscow 1998
-
A generalized power map for Hopf algebras, Hopf algebras and
quantum groups (Brussels, 1998), 165--182, Lecture Notes in Pure
and Appl. Math., 209, Decker, New York, 2000 (dvi
file), (Postscript file), abstract
(html file)
-
Classification of semisimple Hopf algebras of dimension 16, Journal
of Algebra, 232 (2000), no. 2, 617--663 , (dvi
file), abstract
(html file) ;
arXiv:math.QA/0004114;
MSRI
Preprint No. 2000-013
-
On semisimple Hopf algebras of dimension $2^{m}$, accepted by Algebras
and Representation Theory (dvi file), abstract
(html file) ; MSRI
Preprint No. 2000-0021
-
Examples of Hopf algebras of dimension $2^{m}$, MSRI
Preprint No. 2000-003
-
On two families of Hopf algebras of dimension $2^{m}$, Communications
in Algebra, vol. 31 (2003), no. 4, 1643--1668,
(pdf file),
abstract (html file)
-
Computing the Frobenius-Schur indicator for abelian extensions of Hopf
algebras, with G. Mason and S. Montgomery, Journal
of Algebra, 251 (2002), no. 2, 888--913;
abstract
(html file);
arXiv:math.QA/0108131
-
Self-dual modules of semisimple Hopf algebras, with Y. Sommerhäuser,
and Y. Zhu, Journal
of Algebra, 257 (2002), no. 1, 88--96; abstract
(html file) ; arXiv:math.RA/0106254
-
Some results for Hopf algebras of Frobenius type, Groups,
Rings, Lie and Hopf Algebras, Proceedings of International workshop
at the Memorial University of Newfoundland, May 28, 2001--June 1, 2001;
Mathematics and its Applications, volume 555, Kluwer Academic Publishers,
2003 (Postscript file)
Invited talks
-
Algebra Seminar, University of Southern California, April
1998
(Title of the talk: On the order of the antipode of Hopf algebras
in the Yetter-Drinfeld category)
-
International Kurosh Algebraic Conference, Moscow State University,
Moscow, Russia, May 1998
(Title of the talk: On the order of the antipode of Hopf algebras
in the Yetter-Drinfeld category)
-
Conference on Hopf Algebras and Quantum Groups, Free University
of Brussels, Brussels, Belgium, June 1998
(Title of the talk: On the order of the antipode of Hopf algebras
in the Yetter-Drinfeld category) slides (dvi file)
-
Hopf algebras seminar, MSRI, Berkeley, September 16, 1999
(Title of the talk: Hopf algebras of dim 16)
-
Workshop on Hopf algebras, MSRI, Berkeley, October 25, 1999
(Title of the talk: Hopf algebras of dimension 2^n ) video
-
Colloquium, California State University, San Bernardino, November
1999
(Title of the talk: From groups to Hopf algebras?)
-
Quantum Topology Seminar, University of Illinois at Chicago, February
2000
(Title of the talk: Classification of semisimple Hopf algebras of
dimension 16)
-
Colloquium, DePaul University, March 2000
(Title of the talk: Classification of semisimple Hopf algebras)
-
Hopf algebras seminar, MSRI, Berkeley, March, 2000
(Title of the talk: Hopf algebras of dimension 16)
-
AMS Meeting: Section on Representation Theory of Algebras, Santa
Barbara, March 2000
(Title of the talk: Representations and classification of semisimple
Hopf algebras)
-
Workshop on Quantum Groups, Morelia, Mexico, March 2000
(Title of the talk: Classification of semisimple Hopf algebras of
dimension 16)
-
Lie theory seminar, University of California, Riverside, May 2000
(Title of the talk: Classification of semisimple Hopf algebras)
-
Algebra Seminar, Syracuse University, September 2000
(Title of the talk: Classification of semisimple Hopf algebras)
-
Algebra Seminar, Syracuse University, September 2000
(Title of the talk: Generalized power map for Hopf algebras)
-
Algebra Seminar, University of Southern California, October
2000
(Title of the talk: Semisimple Hopf algebras of dimension 2^n)
-
Mid-Atlantic Algebra Conference, Virginia Tech, March 2001
(Title: Generalized power map for Hopf algebras)
-
Workshop on Groups, Rings, Lie and Hopf Algebras, Memorial University
of Newfoundland, Canada, May 2001
(Title: Semisimple Hopf algebras of dimension 2^n)
-
Representation Theory Seminar, UMass, Amherst, September 2001
(Title of the talk: Power map for Hopf algebras)
-
Algebra Seminar, Syracuse University, September 2001
(Title of the talk: Schur indicators for Hopf algebras, I)
-
Algebra Seminar, Syracuse University, September 2001
(Title of the talk: Schur indicators for Hopf algebras, II)
-
Hopf algebras seminar, University of Munich, Germany, December 2001
(Title of the talk: On two families of Hopf algebras of dimension
$2^{n}$)
-
Association for Women in Mathematics Workshop, San Diego, January
2002
(Title of the talk: From Groups to Hopf Algebras)
-
Algebra Seminar, Syracuse University, September 2001
(Title of the talk: Schur indicators for Hopf algebras, II)
-
Algebra Seminar, University of Southern California, January 2002
(Title of the talk: Two families of Hopf algebras of dimension $2^{n}$)
-
International Hopf Algebras Conference, DePaul University, February
2002
(Title of the talk: Frobenius-Schur Indicators for Hopf Algebras)
-
Colloquium, DePaul University, February 2002
(Title of the talk: From Groups to Hopf Algebras)
-
Colloquium, Penn State - Altoona, February 2002
(Title of the talk: From Groups to Hopf Algebras)
-
Mathematics Graduate Organization Colloquium, Syracuse University,
April 2002
(Title of the talk: From Groups to Hopf Algebras)
-
Algebra Seminar, DePaul University, October 2002
(Title of the talk: Classification of semisimple Hopf algebras)
-
Algebra Seminar, DePaul University, October 2002
(Title of the talk: Schur indicators for Hopf algebras)
-
AMS Meeting: Section on Algebras, Actions, and Algorithms, Baltimore,
January 2003
(Titleof the talk: Schur indicator for abelian extensions of Hopf algebras)
-
AMS Meeting: Section on Hopf Algebras and Quantum Groups, New York,
April 2003
(Titleof the talk: Semisimple Hopf algebras of dimension $p^n$)-
CMS/CAIMS meeting: Symposium on Hopf Algebras and Related Topics,
Dalhousie University, Halifax, Canada, June 2004
(Title of the talk: Higher Frobenius-Schur indicators for Hopf algebras) -
Ferrara Algebra Workshop, Ferrara, Italy, June 2004
(Title of the talk: Groups of grouplikes of a semisimple Hopf algebra and its
dual) -
International Conference on Quantum Groups, Technion, Haifa, Israel, July
2004
(Title of the talk: Higher Frobenius-Schur indicators for semisimple Hopf
algebras) -
AMS Meeting: Session on Hopf Algebras at the Crossroads of Algebra,
Category Theory, and Topology, Evanston, October 2004
(Title of the talk: Groups of grouplikes of a semisimple Hopf algebra and its
dual)
Other conferences and workshops attended
-
AMS meeting, Section on Hopf algebras, Pasadena, California, November
1996
-
Hopf Algebras and Related Topics: Satellite Meeting, USC,
November 1996
-
Lie Algebra Workshop, UC Santa Cruz, December 1996
-
AMS-IMS-SIAM Summer Research Conference on Trends in the Representation
Theory of Finite Dimensional Algebras, Seattle, July 1997
-
Lie Algebra Workshop, UC Riverside, November 1997
-
Lie Algebra Workshop, UCLA, December 1997
-
MSRI Summer Graduate Program in Algorithmic Algebra and Geometry, Berkeley,
July 1998
-
Lie Algebra Workshop, UC Riverside, October 1998
-
Lie Algebra Workshop, UCLA, December 1998
-
Lie Algebra Workshop, Oklahoma State University, February 1999
-
Lie Algebra Workshop, UC Santa Cruz, April 1999
-
Lie Algebra Workshop, UC Santa Cruz, April 2000
Reviewer or referee for:
-
Journal of Algebra
-
National Science Foundation
-
American Mathematical Society
-
Contemporary Mathematics
Teaching Experience:
-
Assistant Professor, Department of Mathematical Sciences, DePaul
University, Fall 2002--Present
-
Calculus I, MAT 150, 2 sections, Fall 2002
-
Discrete Mathematics II, MAT 141, Winter 2003
-
Calculus II, MAT 151, Winter 2003
-
College Algebra and Precalculus, MAT 130, Spring 2003
-
Discrete Mathematics I, MAT 140, Spring 2003
-
Multivariable Calculus I, MAT 260, Fall 2003
-
Quantitative Reasoning, ISP 120, 2 Sections, Fall 2003
-
Multivariable Calculus II, MAT 261, Winter 2004
-
College Algebra and Precalculus, MAT 130, Winter 2004
-
Number Theory, MAT 303, Spring 2004
-
Business Calculus II, BMS 126, Spring 2004
-
Calculus for Math & Science Majors I, MAT 160, Fall 2004
-
Abstract Algebra I, MAT 310, Fall 2004
-
Calculus for Math & Science Majors II, MAT 161, Winter 2004
-
Abstract Algebra II, MAT 311, Winter 2004
-
Instructor, Department of Mathematics, Syracuse University, Fall
2000--Spring 2002
-
Calculus I, Math 295, 2 sections, Fall 2000
-
Precalculus, Math 194, Spring 2000
-
Calculus II, Math 296, Spring 2000
-
Calculus III, Math 397, 2 sections, Fall 2001
-
Calculus II, Math 296, 2 sections, Spring 2002
-
Teaching Assistant, Department of Mathematics, University of Southern
California, 1993-1997, 1998-Spring 1999
-
Calculus Lab Assistant, Fall 1993
-
Basic Mathematical Skills 040 (Prof. C. Shah), Spring 1994
-
Linear algebra and Differential Equations 225 (Prof. E. Rieffel),
Fall 1994
-
Linear algebra and Differential Equations 225 (Prof. E. Liverance),
Spring 1995
-
Linear algebra and Differential Equations 225 (Prof. C. Lanski),
Summer 1995
-
Abstract algebra 410 (Prof. C. Lanski), Fall 1995
-
Linear algebra and Differential Equations 225 (Prof. E. Gutkin),
Spring 1996
-
Linear algebra and Differential Equations 225 (Prof. E. Gutkin),
Fall 1996
-
Linear algebra and Differential Equations 225 (Prof. E. Gutkin),
Spring 1997
-
Abstract algebra 410 (Prof. S. Kamienny), Fall 1998
-
Instructor of Mathematics (calculus, trigonometry, basic algebra),
Moscow College of Architecture and Construction, Moscow, Russia, Fall 1992
- Spring 1993
Honors:
-
Honor Fellowship, Moscow State University, Fall 1989 - Spring 1993
-
Honours Diploma, Moscow State University, 1993
-
Academic Achievement Award, University of Southern California, April
23, 1999
Research support:
-
Supported by S. Montgomery's NSF Research Grant, Summer 1996, Summer
1997, the academic year 1997 - 1998, Summer 1999.
-
Support from the Association for Women in Mathematics for the
presentation at the AWM Workshop in conjunction with Joint Mathematics
Meetings, January 2002
-
LA&S Faculty Summer Research Grant "Classifying Hopf Algebras", funded by
the College of Liberal Arts and Sciences, DePaul University, Summer 2003
-
Support from the Association for Women in Mathematics to attend Ferrara
Algebra Workshop, held in Ferrara, Italy, June 2004
Memberships:
-
American Mathematical Society
-
Member of the MGSA (Mathematical Graduate Student Association), USC,
1993 - 1999
-
Member of the Graduate and Professional Students Senate, representing
the MGSA, USC, 1995-1996
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