## Office Hours

**My education and experience: **

B.S. and M.S. in Mathematics, St. Petersburg State University, St. Petersburg, Russia 1993

Ph.D. in Mathematics, University of Illinois at Chicago, Chicago IL 2002

I joined the faculty of Siena College in 2005 after a 3-year visiting instructor position at International University Bremen (now known as Jacobs University Bremen) in Germany.

Degree | Program | University |
---|---|---|

Ph.D. | Mathematics | University of Illinois at Chicago |

M.S. | Mathematics | University of Illinois at Chicago |

B.S. | Mathematics | St. Petersburg State University |

## My Siena Experience

### My Teaching Philosophy

I strongly believe that a good teacher has to understand and respect students in order to facilitate active learning and to reach every person in the class.

### What I Love About Siena

I have a passion for mathematics and I love teaching it. Siena’s small learning community emphasizing dynamic faculty-student interaction creates a unique social environment where I find ample opportunities for my personal professional growth as a teacher and as a mathematician.

### My Favorite Courses to Teach

Multivariable calculus (MATH 210), Foundations of Mathematics (MATH 301), Introduction to Number Theory (MATH 340), Differential Geometry (MATH 425), Topology (MATH 460), and Independent Study in Mathematics (MATH 499).

## My Professional Experience

Year | Title | Organization |
---|---|---|

2018 - Now | Professor, Mathematics | Siena College |

2011 - 2018 | Associate Professor, Mathematics | Siena College |

2005 - 2011 | Assistant Professor, Mathematics | Siena College |

2002 - 2005 | Research Instructor, Mathematics | International/Jacobs University |

### Articles & Book Reviews

- Permutations with a distinct divisor property.

Journal is not in list - being petitioned, vol. 29

2021 - Complete generalized Fibonacci sequences modulo primes

Moscow Journal of Combinatorics and Number Theory, vol. 9

2020 - On the subgroup generated by solutions of Pell's equation

Journal of Number Theory, vol. 194

January, 2019 - A BASIS OF THE GROUP OF PRIMITIVE ALMOST PYTHAGOREAN TRIPLES

Journal of Algebra, Number Theory: Advances and Applications, vol. 16

2016 - A congruence property of irreducible Laguerre polynomials in two variables

INTEGERS (Electronic Journal of Combinatorial Number Theory), vol. 16

2016 - The group of primitive almost Pythagorean triples

INVOLVE Journal, vol. 6

2013 - Dynamics of folds in the plane

College Mathematics Journal, vol. 42

2011 - Folding Noneuclidean Strips of Paper

Mathematics Magazine, vol. 84

2011 - Angle Contraction between geodesics

Journal of Dynamical Systems and geometric Theories, vol. 8

2010 - Zeta[n] via hyperbolic functions

INVOLVE Journal, vol. 3

2010 - Pseudo-isotopy classes of diffeomorphisms of the unknotted pairs (Sn+2, Sn) and (S2p+2, Sp x Sp)

Illinois Journal of Mathematics, vol. 51

2007 - Relative mapping class group of the trivial and the tangent disk bundles over the sphere

Pure and Applied Mathematics Quarterly, vol. 3

2007 - Kernel of the variation operator and periodicity of open books

Topology and its Applications, vol. 148

2005 - On the Jacobi group and the mapping class group of S3 × S3

Transactions of the American Mathematical Society, vol. 355

2003

### Awards & Distinctions

`Almost Pythagorean Triples and Quadratic Numbers`

Category: Research

SiENA COLLEGE, 2016- Group structure on the set of solutions of a certain quadratic Diophantine equation.

Category: Research

SIENA COLLEGE, 2015 - Connected derivatives of a polynomial.

Category: Research

SIENA COLLEGE, 2014 - Generators of the Group of Primitive Almost Pythagorean Triples.

Category: Research

SIENA COLLEGE, 2013 - The Groups of Almost Pythagorean Triples.

Category: Research

SIENA COLLEGE, 2011 - Knots as disjoint segments on surface plane models.

Category: Research

SIENA COLLEGE, 2010 - Multiple integrals and values of the Riemann's zeta function.

Category: Research

SIENA COLLEGE, 2009 - Convergence between two lines and the triangle at infinity.

Category: Research

SIENA COLLEGE, 2008 - Student Research Fellowship

Category: Other

University Fellowship, University of Illinois at Chicago, 2000 - Student Research Fellowship

Category: Other

University Fellowship, University of Illinois at Chicago, 1999 - B.S. Diploma with Honors

Category: Other

St. Petersburg State University, Russia, 1993

### Presentations

- Multivariable Laguerre polynomials vs. classical Laguerre polynomials

2017

Skidmore College Mathematics Colloquium, Saratoga Springs, New York - On the subgroup generated by solutions of Pell's equation and elements of order 2 in the corresponding quotient group

2017

AMS/MAA Joint Meetings, Atlanta, Georgia - Algebraic groups of solutions of two Diophantine equations a2 + mb2 = c2 and x2 - my2 = 1

2016

Siena Mathematics Colloquium, Loudonville, New York - On the subgroup generated by solutions of Pell's equation and elements of order 2 in the corresponding quotient group

2016

Meeting of the Seaway Section of the Mathematical Association of America, Rochester, New York - Multivariable Laguerre polynomials irreducible over the rationals

2015

Conversations in mathematics at RIT, Rochester, New York - A basis of the group of primitive almost Pythagorean triples

2014

AMS/MAA Joint Meetings, Baltimore, Maryland - A congruence property of irreducible Laguerre polynomials in two variables

2014

MAA Seaway Section Meeting, Alfred, New York - What happened when we tried to find the half-derivative of a polynomial

2014

Siena College Mathematics Colloquium, Loudonville, New York - Bachet's equation: From Diophantus to modern times

2012

Siena College Mathematics Colloquium, Loudonville, New York - What do Pythagorean triangles and daisies have in common?

2011

Siena College Mathematics Colloquium, Loudonville, New York - Dynamics of simple folds in a plane

2009

Siena College Mathematics Colloquium, Loudonville, New York - Dynamics of simple folds in a plane

2008

AMS central section fall meeting, Middletown, Connecticut - On extension of diffeomorphisms of an n-manifold M embedded into (n+2)-sphere

2007

Topology Research Seminar at Dartmouth College, Dartmouth, New Hampshire - The relative mapping class group of the tangent disk bundle over the standard n-sphere

2007

MAA Seaway Section Meeting, Oneonta, New York - Pseudo-isotopy classes of diffeomorphisms of the unknotted pairs (Sn+2, S^n) and (S2p+2, Sp x Sp)

2006

AMS central section spring meeting, Durham, New Hampshire - Relative mapping class group of Sp x Dq

2005

American Mathematical Society and Mathematical Association of America Annual Meeting, Atlanta, Georgia - Periodicity of open books via mapping class groups

2004

Mathematics Seminar at University of Goettingen Mathematics Institute, Goettingen, Germany - On the relative mapping class groups and manifolds with simple open book decompositions

2003

Joint India AMS Mathematics Meeting, Bangalore, India - On the Jacobi group and the mapping class group of Sk x Sk

2002

International University Bremen Mathematics Colloquium, Bremen, Germany - On the Jacobi group and the mapping class group of S3 x S3

2001

AMS central section spring meeting, Irvine, California