Allan Yashinski's Homepage
- I am currently a graduate student in mathematics at Penn State studying under Professor Nigel Higson. I expect to receive my Ph.D. in Spring 2013. Before coming to Penn State, I received a B.S. in mathematics from Bucknell University in 2007.
- Here is my Curriculum Vitae.
- My research interests are in noncommutative geometry, operator algebras, deformations of associative algebras, K-theory, and cyclic homology.
- My research so far has focused on the rigidity of K-theory and cyclic homology under deformations of algebras.
- Here is my Research Statement.
- The Gauss-Manin connection and noncommutative tori, preprint
Notes, Slides, etc:
- Slides from my talk "Deformation quantization and A∞-algebras" given at the Cornell-Penn State Joint Symplectic Seminar, Spring 2013 at Penn State.
- Slides from my talk "Noncommutative tori and the Gauss-Manin connection" given at the East Coast Operator Algebras Symposium 2012 at the University of Tennessee in Knoxville, TN.
- Lecture notes with Anton Petrunin from the Fall 2011 MASS course "From Euclid to Alexandrov: A Guided Tour" (see below.)
- Notes on the Pimsner-Voiculescu exact sequence in K-theory, including a detailed calculation of the K-theory of the irrational rotation algebra. These notes were written in preparation for my Ph.D. comprehensive exam. They are not intended for publication, and may contain errors.
Teaching:In Fall 2012, I am teaching two sections of Math 141 - Calculus with Analytic Geometry II. Here is a list of courses that I have taught in the past.
- Spring 2012, Math 251 - Ordinary and Partial Differential Equations
- Fall 2010, Math 230 - Calculus and Vector Analysis
- Spring 2010, Math 017 - Finite Mathematics (three sections)
- Fall 2009, Math 250 - Ordinary Differential Equations
- Summer 2009, Math 220 - Matrices (two sections)
- Fall 2008, Math 230 - Calculus and Vector Analysis (two sections)
- Summer 2008, Math 022 - College Algebra II
Here is my Teaching Statement.
During Fall 2011, I had the unique opportunity to be a teaching assistant for the Mathematics Advanced Study Semesters (MASS) program at Penn State. In the MASS program, advanced undergraduates in mathematics from all over the country come to Penn State to participate in a intensive math-focused semester of study. I served as a teaching assistant in Professor Anton Petrunin's course "From Euclid to Alexandrov: A Guided Tour". The course was an introduction to metric spaces and Alexandrov geometry. My duties included running a weekly one hour recitation session, editing course lecture notes, holding office hours in which I helped students work through homework problems and their course projects, and grading homework and oral exams. Lecture notes
Graduate Teaching Assistant
Department of Mathematics
Penn State University
yashinsk at math dot psu dot edu