Education:

• Ph.D., Mathematics, August 1999

Department of Mathematics, University of Southern California
Advisor   Professor Susan Montgomery
Dissertation title   Studies of Finite-Dimensional Semisimple Hopf Algebras  (ps file) , (dvi file) ,  abstract (dvi file)

• M.A., Mathematics, December 1995

Department of Mathematics, University of Southern California
 
• B.S., Mathematics, Applied Mathematics, with Honors, June 1993

Department of Mechanics and Mathematics, M.V. Lomonosov Moscow State University, Russia
Advisor   Professor Alexander V. Mikhalev
Graduation paper: "Projective Modules over Skew Polynomial Rings (constructive methods)"

Employment:

• Assistant Professor, Department of Mathematical Sciences, DePaul University, August 2002--Present
• Postdoctoral fellow, Department of Mathematics, Syracuse University, August 2000--July 2002
• Postdoctoral fellow, Mathematical Sciences Research Institute, Berkeley, September 1999--June 2000.

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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