Department of Mathematics

Stony Brook University

Stony Brook NY 11794-3651, USA

Email : leontak@math.sunysb.edu

Education

Leningrad State University Math. B.A., M.S. 1967–1972

Steklov Math. Inst. at Leningrad (LOMI) Math. Ph.D. 1972–1975

LOMI Math. Doctor of Science 1982

Appointments 

1992–present

Professor SUNY at Stony Brook

1997–2000

Graduate Program Director at SUNY at Stony Brook

1985–1992

Leading Researcher LOMI

1979–1985

Senior Researcher LOMI

1975–1979

Junior Researcher LOMI

Visiting Positions

June 2003              Visiting Professor Universit´e Denis Diderot (Paris VII)

2000–2001             Visiting Professor Yale University

June-July 1999       Visiting Professor University of Bourgogne

1991                      Visiting Professor SUNY at Stony Brook Spring

1991–1992             Visiting Professor U. of Colorado at Boulder

Fall 1991                Visiting Professor U. of Colorado at Boulder

Committees

2006–present           Editorial Board, Springer series in Theoretical & Mathematical Physics 2007

2005–present           Organizer, Random Shapes Program at IPAM in Spring

2001–present           Editor, Communications in Mathematical Physics

1998–present           Editorial Board, Letters in Mathematical Physics

1997–2001               AMS Committee on National Meetings

1997–2000               AMS Committee on Summer Institutes and Special Symposia

1998–2000               AMS Committee on Summer Institutes and Special Symposia, Chair

1990–1995               Editorial Board, Funkt. Analysis i ego Prilozh. (Moscow)

Honors 

September 1999       Clay Mathematics Institute Prize Fellow

January 1993            Plenary Address, AMS annual meeting, San-Antonio

1987                        Ann. Prize, Math. Section Acad. of Sci. USSR (with P. Zograf)

1984                        Best paper, Math. Section Acad. of Sci. USSR (with A. Vinogradov)

1983                        Invited Address, ICM-82, Warsaw

Research Interests

Mathematical physics (quantum field theory, string theory and conformal field theory) with applications to geometry, algebra and analysis.

Selected Publications

• Holomorphic factorization of determinants of laplacians on Riemann surfaces and a higher genus generalization of Kronecker’s first limit formula, Geom. and Funct. Analysis (GAFA) 16 (2006), 1291-1323 (with A. McIntyre). 

• Quantum Liouville theory in the background field formalism I. Compact Riemann surfaces, Commun. Math. Phys. 268 (2006), 135-197 (with L.-P. Teo).

• Liouville action and Weil-Petersson metric on deformation spaces, global Kleinian reciprocity and holography, Commun. Math. Phys. 239 (2003), 183-240 (with L.-P. Teo).

• Hamiltonian methods in the theory of solitons, Springer-Verlag, 592p., 1987 (with L. Faddeev); reprinted in Springer series Classics in Mathematics, 2007.

• Hamiltonian methods in the theory of solitons, Springer-Verlag, 592p., 1987 (with L. Faddeev); reprinted in Springer series Classics in Mathematics, 2007 

• Weil-Petersson Metric on the Universal Teichmuller Space, Memoirs of the Amer. Math. Soc. 183, No. 861, vii + 119 p., 2006 (with L.-P. Teo).

• Free bosons and dispersionless limit of Hirota tau-function, in Bilinear Integrable Systems: From Classical to Quantum, Continuous to Discrete, eds. L. Faddeev et al, Springer Verlag, 301-311, 2006.

• Weil-Petersson geometry of the universal Teichmuller space, Progress in Math. 237(2005), 219-227 (with L.-P. Teo).