Ian Alevy
Visiting Assistant Professor of Mathematics
Office  1008 Hylan Building 
Phone:  (585) 2766871 
Fax:  (585) 2734655 
Email:  ian dot alevy at rochester period edu 
Office hours
 Monday 2:00pm3:00pm (in person or over Zoom)
 Wednesday 2:00pm4:00pm (in person or over Zoom)
Courses I’m teaching this semester

Math 212  Mathematical Finance: Stock Options and the BlackScholes Equation
 Math 161  Calculus IA
 Math 201  Intro. to Probability
Research
My research interests include statistical mechanics, probability, discrete dynamical systems, and discrete geometry.
CV
Publications and preprints

I. Alevy and A. Krishnan, Negative correlation of adjacent Busemann increments, submitted 2021. We show that some adjacent Busemann increments are negatively correlated.

I. Alevy and S. Mkrtchyan, The Limit Shape of the Leaky Abelian Sandpile Model, submitted 2020. We show that the limit shape of the LeakyASM is the dual of the amoeba of the associated spectral curve.

I. Alevy, R. Kenyon and R. Yi, A Family of Minimal and Renormalizable Rectangle Exchange Maps, Ergodic Theory and Dynamical Systems, 128, doi:10.1017/etds.2019.77, 2019. We study certain rectangle exchange maps using a cutandproject method.

Regular Polygon Surfaces. How can you build a surface which is topologically a sphere but whose faces are regular Euclidean polygons? Submitted 2018.

I. Alevy and E. Tsukerman. Polygonal Bicycle Paths and the Darboux Transformation, Involve, 9(1):57–66, 2016.

T. Nagylaki, L. Su, I. Alevy and T. Dupont. Clines with Partial Panmixia in an Environmental Pocket, Theoretical Population Biology, 95:2432, 2014.
Selected Talks
 The Limit Shape of the Leaky Abelian Sandpile Model (Full). Slides and Recording
 The Limit Shape of the Leaky Abelian Sandpile Model (Summary). Slides and Recording
 Renormalizable Rectangle Exchange Maps. Slides and Recording
 Regular Polygon Surfaces