76 University Drive
Hazleton, PA 18202-8025
Publications
Geometric proof of the binomial identity, Mathematical Gazette - November, 2024
Collaborator: Semyon Litvinov
Presentation of rational Schur algebras, Journal of Algebra - October, 2024
Testing the Cultural Scope of Affection Exchange Theory in Slovakia, Journal of Intercultural Communication Research - September, 2024
Collaborators: Daniel Mansson; Jaroslava Zeleiova
A note on Schur-Weyl dualities for GL(m) and GL(m|n), Algebras and Representation Theory - September 17, 2024
Donkin-Koppinen filtration for GL(m|n) and generalized Schur superalgebras, Transformation Groups - May, 2023
Collaborator: Alexandr Zubkov, Co-Author
Two comments on the binomial identity, College Math. Journal - April, 2023
Collaborator: Semyon Litvinov
Symmetrizers for Schur algebras, Journal of Pure and Applied Algebra - February, 2023
Combinatorial aspects of an odd linkage property for general linear supergroups, Algebra and Representation Theory - June, 2022
Sums of consecutive powers as a linear combination of products of two figurate numbers , Journal of Integer Sequences - February, 2022
A combinatorial approach to Donkin-Koppinen filtrations of general linear supergroups, Communications in Algebra - June, 2021
A note on the geometry of figurate numbers, American Mathematical Monthly - May, 2021
Collaborator: Jose Cereceda
Instructor Guide for Upcoming Semester Course Planning, keepteaching.psu.edu - December 11, 2020
Collaborators: Denise Bortree; Yvette Richardson
Supersymmetric elements in divided powers algebra, Algebra and Representation Theory - October 21, 2020
Instructor Manual to Fall 2020, keepteaching.psu.edu - August, 2020
Collaborators: Denise Bortree; Yvette Richardson
Adjoint invariants of Frobenius kernels of GL(2), Communications in Algebra - August 28, 2020
Central elements in the distribution algebra of a general linear supergroup and supersymmetric elements, Journal of Algebra - April, 2020
Collaborator: Alexandr Zubkov
Even-primitive vectors in induced supermodules for general linear supergroups and in costandard supermodules for Schur superalgebra, Journal of Algebraic Combinatorics - April, 2020
Geometry of figurate numbers and sums of powers of consecutive natural numbers, American Mathematical Monthly - January, 2020
Collaborator: Semyon Litvinov, Co-Author
Sums of powers of consecutive integers and Pascal's triangle, The College Mathematics Journal - January 30, 2020
Collaborator: Semyon Litvinov, Author
Adjoint invariants of Frobenius kernels of GL(m) and elements of the center of Dist(GL(m)), Communications in Algebra - October, 2019
How to use invariants of groups to construct a public-key cryptosystem, ИНФОРМАЦИОННЫЙ БЮЛЛЕТЕНЬ ОМСКОГО НАУЧНО-ОБРАЗОВАТЕЛЬНОГО ЦЕНТРА ОМГТУ И ИМ СО РАН В ОБЛАСТИ МАТЕМАТИКИ И ИНФОРМАТИКИ - 2018
Linkage principle for orthosymplectic supergroups, Journal of Algebra - January, 2018
Collaborator: Alexandr Zubkov, Co-Author
Blocks for general linear supergroup GL(m|n), Transformation Groups - January, 2018
Collaborator: Alexandr Zubkov, Co-Author
Description of costandard modules for Schur superalgebra S(2|2) in positive characteristic, Journal of Algebra and Its Applications - January, 2018
Collaborator: Alexander Grishkov, Author
Irreducibility of induced modules for general linear supergroups, Journal of Algebra - January, 2018
Minimal degrees of invariants of (super)groups - a connection to cryptology, Linear and Multilinear algebra - 2017
Collaborator: Alexandr Zubkov, Co-Author
Routh's theorem for simplices, American Mathematical Monthly - May, 2017
Collaborator: Semyon Litvinov, Co-Author
Public-key cryptosystem based on invariants of supergroups, Groups, Complexity and Cryptology - April, 2017
Collaborators: Alexandr Zubkov, Co-Author; Martin Juras, Co-Author
Public-Key Cryptosystem Based on Invariants of Groups, Qatar Foundation Annual Research Conference 2016 - November, 2016
Collaborators: Martin Juras, Co-Author; Alexandr Zubkov, Co-Author
Young adults' trait affection given and received as functions of Hofstede's dimensions of cultures and national origin., Journal of Intercultural Communication Research - October, 2016
Collaborator: Daniel Mansson, Author
The center of Dist(GL(m|n)) in positive characteristic, Algebra and Representation Theory - January, 2016
Collaborator: Alexandr Zubkov, Author
Topological aspects of infinitude of primes in arithmetic progressions, Colloquium Mathematicum - July, 2015
Collaborator: Stefan Porubsky, Author
Congruences of Ankeny-Artin-Chowla type and the p-adic class number , Acta Arithmetica - April, 2015
Routh's theorem for tetrahedra, Geometriae Dedicata - February, 2015
Collaborator: Semyon Litvinov, Co-Author
Primitive vectors in induced modules for general linear superalgroups, Journal of Pure and Applied Algebra - January, 2015
Designing a cryptosystem based on invariants of supergroups, Qatar Foundation Annual Research Conference 2014 - November, 2014
Collaborators: Martin Juras, Co-Author; Alexandr Zubkov, Co-Author
Derived representation type of Schur superalgebras, Communications in Algebra - April, 2014
Collaborator: Vyacheslav Futorny, Co-Author
Pseudocompact algebras and tilting modules, Algebra and Representation Theory - 2013
Collaborator: Alexander Zubkov, Author
Ankeny-Artin-Chowla type congruences modulo p^3, Mathematica Slovaca - December, 2013
Collaborator: Stanislav Jakubec, Author
Description of simple modules for Schur superalgebra S(2|2), Glasgow Mathematical Journal - September, 2013
Collaborator: Alexander Grishkov, Author
Description of simple modules for Schur superalgebra S(3|1), Communications in Algebra - July, 2013
The role of bideteminants in the representation theory, Mathematical Journal of Sao Paulo - October, 2012
A Note on Density and Dirichlet condition, International Journal of Number Theory - April, 2012
Collaborator: Stefan Porubsky, Author
Generators of supersymmetric polynomials in positive characteristic, Journal of Algebra - January 1, 2012
Collaborators: Alexandr Grishkov, Author; Alexandr Zubkov, Author
A note on bideterminants for Schur superalgebras, Journal of Pure and Applied Algebra - September, 2011
Collaborator: Alexandr Zubkov, Author
Description of costandard modules for Schur superalgebra S(2|1) in positive characteristic, Linear and Multilinear Algebra - January 1, 2011
Collaborators: Alexander Grishkov, Author; Alexandr Zubkov, Author
Decomposition of congruences involving a map Phi., Mathematica Slovaca - December 16, 2010
Towards Ankeny-Artin-Chowla congruence modulo p^3, Acta Mathematica Silenianae - December, 2007
Algebra associated with the principal block of category O for sl_3(C)., Algebras, rings and their representations - October, 2006
Schur Superalgebras in characteristic p, Algebras and Representation Theory - October, 2006
Collaborator: Alexandr N Zubkov, Author
Schur superalgebras in characteristic p, II, Bulletin of the London Mathematical Society - October, 2006
Collaborator: Alexandr N Zubkov, Author
Exact sequences of projective modules in Schur superalgebras, Algebra Colloquium - March, 2006
Collaborators: Alexandr N Grishkov, Author; Alexandr N Zubkov, Author
Borel subalgebras of extension algebras, Fields Institute Communications - 2005
Extension algebras of standard modules, Fields Institute Communications - 2005
On the existence of Minkowski units in totally real cyclic fields, Journal de Théorie des Nombres de Bordeaux - 2005
When is a Schur superalgebra quasi-hereditary?, Trabalhos do Departamento de Matematica, Universidade de Sao Paulo - October, 2002
Collaborator: Alexandr N Zubkov, Author
Corrigendum: Parity of class numbers and Witt equivalence of quartic fields, Mathematics of Computations - July, 1997
Collaborators: Stanislav Jakubec, Author; Kazimerz Szymiczek, Author
A note on pseudoprimes with respect to abelian linear recurring sequence, Mathematica Slovaca - July, 1996
On the existence of p-units and Minkowski units in totally real cyclic fields - July, 1996
Parity of class numbers and Witt equivalence of quartic fields, Mathematics of Computation - July, 1995
Collaborators: Stanislav Jakubec, Author; Kazimierz Szymiczek, Author
Quasi-hereditary endomorphism algebras, Canadian Mathematical Bulletin - July, 1995
Collaborators: Vlastimil Dlab, Author; Peter Heath, Author
On the existence of Minkowski units in totally real cyclic fields, Carleton University, Mathematical preprints - July, 1994
Quasi-heredity of endomorphism algebras, Comptes Rendus Mathematical Reports of the Academy of Science Canada - July, 1994
Collaborators: Vlastimil Dlab, Author; Peter Heath, Author
On quasi-hereditary endomorphism algebras - November, 1993
Collaborators: Vlastimil Dlab, Author; Peter Heath, Author
Polynomials of the form g(x^k) and pseudoprimes with respect to linear recurring sequences, Mathematica Slovaca - July, 1992
Witt equivalence classes of quartic number fields, Mathematics of Computation - July, 1992
Collaborator: Stanislav Jakubec, Author
The sum of absolute values of coefficients of some Artin L-functions associated with rational characters, Number theory - July, 1990
Schinzel's conjecture H and divisibility in abelian linear recurring sequences, Colloquium Mathematicum - July, 1990
An overview of some results from arithmetic geometry - July, 1989
A remark on a flow with a homoclinic trajectory, Acta Mathematica Universitatis Comenianae - July, 1988
Collaborator: Marek Fila, Author
Divisibility of binomial coefficients near a half-line and in convex sets, Acta Mathematica Universitatis Comenianae - July, 1987
Games between sequential machines, Computers and Artificial Intelligence - July, 1987
Papers and Presentations
August 8, 2024
Lectures
Blocks of rational supermodules over some quasi-reductive supergroups in positive characteristic
International Conference on Representations of Algebras (ICRA 21, 2024)
Shanghai, China
July 3, 2024
Lectures
Blocks of periplectic supergroups in positive characteristic
Workshop: Representations of supergroups
Bonn, Germany
May 28, 2024
Lectures
Blocks of rational supermodules over some quasi-reductive supergroups in positive characteristic
Representation Theory and Related Geometry: Progress and Prospects
Athens, Georgia
April 28, 2024
Lectures
Presentation of rational Schur algebras
Maurice Auslander Distinguished Lectures and International Conference 2024
Woods Hole, Massachusetts
April 21, 2024
Lectures
Blocks of rational supermodules over some quasi-reductive supergroups in positive characteristic
2024 Spring Central Sectional Meeting
Milwaukee, Wisconsin
November 13, 2023
Lectures
Blocks of rational supermodules over some quasi-reductive supergroups in positive characteristic
European Non-Associative Algebra Seminar
April 6, 2023
Seminars
Blocks of rational supermodules over some quasi-reductive supergroups in positive characteristic
Department of Mathematics Seminar
Al Ain, Abu Dhabi, United Arab Emirates
October 27, 2022
Keynotes/Plenary Addresses
Donkin-Koppinen filtration for the general linear supergroup GL(m|n)
International Conference on Representations of Algebras and Related Topic
Woods Hole, Massachusetts
August 10, 2022
Oral Presentations
Donkin-Koppinen filtration for GL(m|n) and generalized Schur superalgebras
International Conference on Representations of Algebras
Buenos Aires, Argentina
April 28, 2019
Keynotes/Plenary Addresses
Supersymmetry and Littlewood-Richardson tableaux
International Conference on Representations of Algebras and Related Topic
Woods Hole, Massachusetts
August 14, 2018
Oral Presentations
Supersymmetric polynomials over fields of positive characteristic
International Conference on Representations of Algebras
Prague, Czech republic
June 2, 2018
Oral Presentations
Supersymmetric polynomials over fields of positive characteristic
Canadian Mathematical Society Summer Meeting
Fredericton, New Brunswick, Canada
May 2, 2018
Papers and Oral Presentations
How to use invariants of groups to construct a public-key cryptosystem
Applied Mathematics and Fundamental Informatics
Omsk, Russia
April 28, 2018
Keynotes/Plenary Addresses
Supersymmetric elements in positive characteristic
International Conference on Representations of Algebras and Related Topic
Woods Hole, Massachusetts
April 27, 2017
Keynotes/Plenary Addresses
Minimal degrees of invariants for groups
International Conference on Representations of Algebras and Related Topic
Woods Hole, Massachusetts
November, 2016
Presentations
Young adults' trait affection given and received as functions of Hofstede's dimensions of cultures and national origin.
102nd Annual Convention of the National Communication Association
Philadelphia, PA
August, 2016
Oral Presentations
Linkage principle for general linear and orthosymplectic supergroups
International Conference on Representations of Algebras
Syracuse, New York
July, 2016
Seminars
Linkage principle for general linear and orthosymplectic supergroups
Colloquium at the Department of Mathematics
Doha, Qatar
June, 2016
Presentations
Cross-cultural validity tests and comparisons of the grandchildren’s received affection scale.
Annual meeting of the International Communication Association
Fukuoka, Japan
June 23, 2016
Oral Presentations
Public-key cryptosystem based on invariants of diagonalizable groups
16th Central European Conference on Cryptography
Piestany, Slovakia
June 16, 2016
Oral Presentations
Linkage principle for supergroups in positive characteristics
ALaNT 4 – Joint Conferences on Algebra, Logic and Number Theory
Telc, Czech republic
May 4, 2016
Seminars
Linkage principle for general linear and orthosymplectic supergroups
Colloquium at the Department of Mathematics
Al Ain, United Arab Emirates
April 28, 2016
Keynotes/Plenary Addresses
Linkage principle for general linear and orthosymplectic supergroups
International Conference on Representations of Algebras and Related Topic
Woods Hole, Massachusetts
March 22, 2016
Oral Presentations
ICTOP1308 Public-key cryptosystem based on invariants of diagonalizable groups
ARC'16 Qatar Foundation Annual Research Conference
Doha, Qatar
September, 2015
Keynotes/Plenary Addresses
The blocks of general linear supergroup GL(m|n)
XXVIIth Meeting on Representation Theory of Algebras
Sherbrooke, Quebec, Canada
November 28, 2014
Presentations
Cryptosystems based on invariants
Vitebsk, Belarus
November 28, 2014
Presentations
Education system in the USA
Vitebsk, Belarus
November 25, 2014
Presentations
Education system in the USA
Vitebsk, Belarus
November 25, 2014
Presentations
Routh theorem for tetrahedra
Vitebsk, Belarus
November 22, 2014
Presentations
Communication traits across cultures: Examining Slovakia, Russia, and the United States
100th Annual Convention of the National Communication Association
Chicago, IL
August 27, 2014
Oral Presentations
The center of Dist(GL(m|n)) in positive characteristic
XVI International Conference on Representation Theory of Algebras
Sanya, Hainan, China
December 7, 2013
Oral Presentations
Derived representation type of Schur superalgebras
Winter Meeting of CMS
Ottawa, Ontario, Canada
July 10, 2013
Oral Presentations
Congruences of Ankeny-Artin-Chowla type
9th International Algebraic Conference in Ukraine
Lviv, Ukraine
April 21, 2013
Keynotes/Plenary Addresses
Derived representation type of Schur superalgebras
International Conference on Representations of Algebras and Related Topic
Woods Hole, Massachusetts
December 9, 2012
Oral Presentations
Congruences of Ankeny-Artin-Chowla type and p-adic class number formula revisited
Winter Meeting of CMS
Montreal, Quebec, Canada
July 12, 2012
Keynotes/Plenary Addresses
Simple modules for Schur superagebra S(2|2)
Lie and Jordan algebras, their Representations and Applications, V
Belem, Para, Brazil
April 27, 2012
Keynotes/Plenary Addresses
Simple modules for Schur superagebra S(2|2)
International Conference on Representations of Algebras and Related Topic
Woods Hole, Massachusetts
December 10, 2011
Lectures
Irreducibility of induced modules for general linear supergroups
2011 Winter Meeting
Toronto, Ontario, Canada
September 17, 2011
Keynotes/Plenary Addresses
The factorization formula for hook Schur functions
XXIIIrd Meeting on Representation Theory of Algebras
Sherbrooke, Quebec, Canada
June 30, 2011
Lectures
Bideterminants for Schur superalgebras
Algebra seminar
Prague, Czech republic
June, 2011
Keynotes/Plenary Addresses
Bideterminants for Schur superalgebras
8th International Algebraic Conference in Ukraine
Luhansk, Ukraine
June 21, 2011
Papers
Bideterminants for Schur superalgebras
Innovative Technologies of Training to Physical and Mathematical Disciplines
Vitebsk, Belarus
June 4, 2011
Lectures
Bideterminants for Schur Superalgebras
2011 Canadian Mathematics Society Summer Meeting
Edmonton, Alberta, Canada
March 31, 2011
Lectures
Bideterminants for Schur superalgebras
Seminar on Lie and Jordan algebras
Sao Paulo, Brasil
February 7, 2011
Keynotes/Plenary Addresses
Bideterminants for Schur superalgebras
VIII-th South American meeting on Representations of Algebras and Related Topics
Goiania, Brasil
August 12, 2010
Lectures
Algebra of supersymmetric polynomials and invariants of general linear supergroup
XIV International Conference on Representations of Algebras
Tokyo, Japan
June 4, 2010
Lectures
Algebra of supersymmetric polynomials and invariants of general linear supergroup
2010 Canadian Mathematics Society Summer Meeting
Fredericton, New Brunswick, Canada
April 29, 2010
Oral Presentations
International Business class presentation
April 22, 2010
Keynotes/Plenary Addresses
Algebra of supersymmetric polynomials in positive characteristic
International Conference on Representations of Algebras and Related Topic
Woods Hole, Massachusetts
March 26, 2010
Lectures
Schur superalgebras and polynomial invariants of general linear supergroups
Algebra and Cryptology Seminar
Graduate Center, CUNY New York
March 9, 2010
Keynotes/Plenary Addresses
Schur superalgebras and polynomial invariants of general linear supergroups
South-American Meeting on Representations of Algebras and Related Topics
Mar del Plata, Argentina
October 2, 2009
Oral Presentations
Schur superalgebras and superinvariants of general linear groups
XXIst Meeting on Representation Theory of Algebras
Sherbrooke, Quebec, Canada
August 12, 2009
Oral Presentations
Schur superalgebras in positive characteristics
7th International Algebraic Conference in Ukraine
Kharkov, Ukraine
December 6, 2008
Oral Presentations
Structure of costandard and simple modules for Schur superalgebras in positive characteristics
Canadian Mathematical Society Winter Meeting
Ottawa, Ontario, Canada
August 4, 2008
Oral Presentations
Z-forms of certain modules over Schur superalgebras
XIII International Conference on Representation Theory of Algebras
Boraceia, Sao Paulo, Brasil
March 28, 2008
Oral Presentations
Representation theory of Schur superalgebras in positive characteristic
2008 Spring Southeastern Meeting of the American Mathematical Society
Louisiana State University, Baton Rouge
May 17, 2007
Oral Presentations
Sums of high powers of roots of a certain polynomial modulo p^3
Illinois Number Theory Fest
Urbana-Champaign, IL
June 15, 2006
Chair of a session
6-th Polish, Slovak and Czech Conference on Number Theory
Bedlewo, Poland
June 13, 2006
Oral Presentations
Determination of the sums of high powers of roots of a certain polynomial modulo p^3
6-th Polish, Slovak and Czech Conference on Number Theory
Bedlewo, Poland
June 10, 2005
Oral Presentations
Schur superalgebras in characteristic p
Groups, rings and algebras
University of Wisconsin-Madison, WI
June 6, 2005
Oral Presentations
Schur superalgebras
Invited visit
Athens, GA
October 8, 2004
Oral Presentations
Mathematics Olympiads
Research Evening
Hazleton
June 25, 2004
The representation theory of Schur superalgebras in characteristic pRepresentation Theory and its Applications
Uppsala, Sweden