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# Hirotaka Tamanoi

Title Professor Division Physical & Biological Sciences Department Mathematics Department Phone 831-459-5174 Email FAX 831-459-4511 Office McHenry Building Room #4180 Campus Mail Stop Mathematics Department Mail 1156 High Street

Santa Cruz, CA

95064

USA

### Research Interests

Hirotaka Tamanoi primarily works in (algebraic) topology. His latest interest is in string topology, studying topological aspects of strings moving in space. This theory uses topological quantum field theory and homological/topological conformal field theory. Part of the theory is motivated by string theory in physics. He has also worked in topics including elliptic cohomology theory which is closely related to geometry and representation theory of loop groups and loop spaces. 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.
### Biography, Education and Training

B.S., University of Toyko

M.S., University of Tokyo

Ph.D., The Johns Hopkins University
### Selected Publications

H. Tamanoi : Loop coproducts in string topology and triviality of higher genus TQFT operations. In press, Journal of Pure and Applied Algebra, 2009. 15 pages. Available online on August 5, 2009.

H. Tamanoi : Stable string operations are trivial. International Mathematics Research Notices, Article ID: rnp104, 44 pages. Advance Access published July 13, 2009.

H. Tamanoi: Cap products in string topology. Algebraic & Geometric Topology 9 (2009) 1201-1224.

H. Tamanoi: In

H. Tamanoi: Batalin-Vilkovisky Lie algebra structure on the loop homology of complex Stiefel manifolds. International Mathematics Research Notices, Volume 2006, Article ID 97193, pages 1-23.

# Hirotaka Tamanoi

Title | Professor |

Division | Physical & Biological Sciences |

Department | Mathematics Department |

Phone | 831-459-5174 |

FAX | 831-459-4511 |

Office | McHenry Building Room #4180 |

Campus Mail Stop | Mathematics Department |

1156 High Street Santa Cruz, CA 95064 USA |

### Research Interests

Hirotaka Tamanoi primarily works in (algebraic) topology. His latest interest is in string topology, studying topological aspects of strings moving in space. This theory uses topological quantum field theory and homological/topological conformal field theory. Part of the theory is motivated by string theory in physics. He has also worked in topics including elliptic cohomology theory which is closely related to geometry and representation theory of loop groups and loop spaces. 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.### Biography, Education and Training

B.S., University of ToykoM.S., University of Tokyo

Ph.D., The Johns Hopkins University

### Selected Publications

H. Tamanoi : Loop coproducts in string topology and triviality of higher genus TQFT operations. In press, Journal of Pure and Applied Algebra, 2009. 15 pages. Available online on August 5, 2009.H. Tamanoi : Stable string operations are trivial. International Mathematics Research Notices, Article ID: rnp104, 44 pages. Advance Access published July 13, 2009.

H. Tamanoi: Cap products in string topology. Algebraic & Geometric Topology 9 (2009) 1201-1224.

H. Tamanoi: In

H. Tamanoi: Batalin-Vilkovisky Lie algebra structure on the loop homology of complex Stiefel manifolds. International Mathematics Research Notices, Volume 2006, Article ID 97193, pages 1-23.