Mike Sullivan

Mike Sullivan is a Professor in the Department of Mathematics and Statistics at the University of Massachusetts Amherst. He holds a PhD from Stanford University (1999) and specializes in Symplectic Geometry and Topology. His research explores areas such as embedded contact homology, differential geometry, and applications to financial mathematics. He has taught advanced courses including Symplectic Geometry, Algebraic Topology, and Mathematical Finance. Sullivan’s work bridges pure mathematics with interdisciplinary applications, as seen in his 2005 paper on stochastic volatility models and his contributions to low-dimensional topology.

Education:

• PhD in Mathematics, Stanford University, 1999

Research Interests:

Dr. Sullivan’s research focuses on symplectic geometry, topology, and their intersections with applied fields. He has contributed to foundational work in contact homology and Floer theory, with recent emphasis on geometric structures and financial modeling. His courses reflect a commitment to both theoretical depth and practical applications, such as mathematical finance and differential geometry.

Teaching and Advising:

Sullivan has taught numerous graduate and undergraduate courses, including Math 797SG (Symplectic Geometry), Math 671 (Topology), and Statistics 515. While no specific advisees are listed, his courses often involve advanced research topics, suggesting active mentorship in these areas. No grants or lab affiliations are explicitly mentioned in available texts.