HIROTAKA TAMANOI Professor of Mathematics B.S., University of Toyko M.S., University of Tokyo Ph.D., The Johns Hopkins University My Page

Phone: 831-459-5174 Office: Baskin 369 Office Hours: By Appt. Email: tamanoi_at_ucsc_dot_edu

RESEARCH INTERESTS

Hirotaka Tamanoi is primarily interested in (algebraic) topology, particularly elliptic cohomology theory which is closely related to geometry and representation theory of loop groups and loop spaces, quantum field theory, and conformal field theory. Part of the theory is motivated by physics. He is also interested in generalized Schwarzian derivatives in several variables and Moebius invariant differential operators. Professor Tamanoi's interests also include generalized hypergeometric functions in several variables which arise in conformal field theory. These functions correspond to certain graphs which describe sewing of basic hypergeometric functions.

SELECTED PUBLICATIONS  (complete list)

H. Tamanoi: Elliptic Genera and Vertex Operator Super Algebras. Lecture Notes in Mathematics (Book) 1705, 390 pp (1999).

H. Tamanoi: Hyperelliptic genera. Preprint.

R. Molzon and H. Tamanoi: Generalized Schwarzians in several variables and Moebius invariant differential operators. Preprint.

H. Tamanoi: Q-subalgebras, Milnor basis and cohomology of Eilenberg-MaLane spaces. Jour. of Pure and Applied Algebra 132 (1999) , 153-198.

H. Tamanoi: Spectra of BP-linear relations, Vn-series, and BP-cohomology of Eilenberg-MacLane spaces. To appear in Trans. Amer. Math. Soc., (1999).

H. Tamanoi: Invariant symmetric pairings in vertex operator super algebras and Gramians. To appear in J. Pure Appl. Algebra (1999).

H. Tamanoi: The image of BP-Thom maps for Eilenberg-MacLane spaces. Trans. Amer. Math. Soc. 349 (1997), 1209-1237.

H. Tamanoi: Higher Schwarzian operators and combinatorics of the Schwarzian derivative. Math. Ann. 305 (1996), 127-151

H. Tamanoi: Elliptic genera and vertex operator super algebras. Proc. Japan Acad., 71, Ser.A (1995), 177-181.

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