Michael T. Schultz
460 McBryde Hall, Virginia Tech
225 Stanger Street
Blacksburg, VA 24061-1026
Dr. Schultz's research interests are currently centered in the intersection of algebraic geometry and mathematical physics. This includes the geometry of Calabi-Yau varieties that appear in certain string compactifications, and Seiberg-Witten theory, i.e. the geometrization of N=2 super Yang-Mills theory.
Prevalent in both areas are the geometry of elliptically fibred algebraic surfaces and threefolds, the moduli spaces of which carry rich algebrogeometric and differential geometric structures that have both physical relevance and applications to modular forms.
Additionally, Dr. Schultz studies the geometry of certain linear PDEs and ODEs associated to these families - the Picard-Fuchs equations - whose solutions govern crucial geometric information about the families of varieties.