My name is Dennis Borisov. I am a Gibbs Assistant Professor, Department of Mathematics, Yale University.

Address:    Department of Mathematics                  Phone:    1-203-805-8288
                    Yale University
                    PO Box 208283                                     email:      Dennis dot Borisov at gmail dot com
                    New Haven, CT 06520-8283, USA

Research Interests

My current research interests are in operadic algebra with applications in geometry (both differential and algebraic), higher category theory, and mathematical physics.

Mathematical works
  1. "What is the higher-dimensional infinitesimal groupoid of a manifold?'' (2009), preprint.
  2. "Comparing definitions of weak higher categories, I'', (2009), preprint.
  3. "Generalized operads and their inner cohomomorphisms'' - Progress in Mathematics, Vol. 265, 247-308, (2007) Birkhauser - joint paper with Yu.I.Manin.
  4. "Homotopy Gerstenhaber structure on deformation complex of a morphism'' - Journal of Pure and Applied Algebra, 210 (2007), 751-770.
  5. "Formal deformations of morphisms of associative algebras'' - International Mathematics Research Notices (2005), No. 41.
  6. "Calabi-Yau versus Landau-Ginzburg'' - (2002) Master thesis at university of Bonn, Germany.

Employment

2007-present         Gibbs Assistant Professor, Department of Mathematics, Yale University.
2006-2007             Lecturer in Mathematics, Northwestern University.

Awards and Fellowships

June 2007         Best Thesis Award (shared), Department of Mathematics, Northwestern University
2003-2006         Summer Research fellowship, Department of Mathematics, Northwestern University

Teaching Experience

2007-present     Assistant Professor, Department of Mathematics, Yale University
2006-2007         Lecturer in Mathematics at Northwestern University
2002-2006         Teaching assistant in Mathematics at Northwestern University

Courses taught:

Summer     2009         Multivariable Calculus, Math 120S Summer School, Yale University. Syllabus.
Spring        2009         Operads and homotopical algebra, Graduate School, Yale University.
Fall             2008         Algebraic geometry, Joint graduate/undergraduate course, Yale University. Syllabus.
Fall             2008         Multivariable Calculus, Math 120 Yale University.
Summer     2008         Multivariable Calculus, Math 120S Summer School, Yale University. Syllabus.
Spring        2008         Algebraic geometry, Math 824 Graduate School, Yale University.
Fall             2007         Multivariable Calculus, Math 120 Yale University.
Fall             2007         Discrete Mathematics, Math 244 Yale University. Syllabus.
Spring        2007         Abstract Algebra, Math 330 School of Continuing Studies, Northwestern University. Syllabus.
Spring        2007         Introduction to Mathematics, Math 111 Northwestern University.
Winter        2007         Game theory, Math 364 School of Continuing Studies, Northwestern University. Syllabus.

Education

2002-2007         Northwestern University, USA; Degree earned: Ph.D. in Mathematics, June 2007
1998-2002         University of Bonn, Germany; Degree earned: Diplom Mathematiker (M.Sc.), April 2002