• Mailing address: Department of Mathematics, Oklahoma
State University, Stillwater, OK, 74075.
• Phone: (405)-744-6540
• Email: mavlyutov@math.okstate.edu
• Date of Birth: 25 August 1971
• B.S. in Mathematics, Novosibirsk
State University, Russia, 1992.
• M.S. in Mathematics, Novosibirsk State
University, Russia, 1994.
• Ph.D. in Mathematics, University
of Massachusetts at Amherst, 2000 (Thesis advisor: David A. Cox, Amherst College; thesis title: Toric
Geometry and Mirror Symmetry).
• Clay Mathematics Institute, USA, Liftoff
Research Fellow, June – August 2000.
• Max-Planck-Institut für
Mathematik, Bonn, Research Member, September 2000 – August 2001,
and May – August 2003.
• Indiana University, Bloomington,
Zorn Assistant Professor, August 2001 – December 2003.
• Isaac Newton Institute for
Mathematical Sciences, Cambridge, Research Member, programme “The
Higher Dimensional Complex Geometry”, June – July, 2002.
• University of Oxford, Mathematical
Institute, England, EPSRC Postdoctoral Fellow, December 2003 – August
2004
• Institut des Hautes Études Scientifiques
in Bures-sur-Yvette, France, Research Member, June 15 –
August 15 in 2004 and 2005.
• Oklahoma State University,
Stillwater, Tenure-Track Assistant Professor, August 2004 -- present
Algebraic Geometry and Mirror Symmetry: Calabi-Yau varieties and mathematics related to them.
• Cohomology of
rational forms and a vanishing theorem on toric varieties, Journal
für die reine und angewandte Mathematik (Crelle's Journal), to
appear.
• Embedding of
Calabi-Yau deformations into toric varieties, Mathematische
Annalen, 333 (2005), 45–65.
• Deformations
of Calabi-Yau hypersurfaces arising from deformations of toric varieties,
Inventiones
Mathematicae, 157 (2004), 621–633.
• (with Lev Borisov)
String cohomology of Calabi-Yau hypersurfaces via Mirror Symmetry,
Advances
in Mathematics, 180 (2003), Issue 1, 355–390.
• Nef complete intersections in toric varieties, preprint in
progress.
• On the
chiral ring of Calabi-Yau hypersurfaces in toric varieties, Compositio Mathematica, 138
(2003), Issue 3, 289–336.
• Approximation
by smooth curves near the tangent cone, Journal of Algebra,
Volume 266, Issue 1, (2003), 154–161.
• “The
Hodge structure of semiample hypersurfaces and a generalization of the
monomial-divisor mirror map” in
Advances in Algebraic Geometry Motivated by Physics, Contemp.
Math., 276, Amer. Math. Soc., Providence, RI, 2001,
199–227.
• Semiample
hypersurfaces in toric varieties, Duke Mathematical Journal, 101
(2000), 85–116.
• Cohomology
of complete intersections in toric varieties, Pacific J. of Math., 191
(1999), no 1, 133–144.
• Stable
nilpotent algebras of degree 3, Sibirsk. Mat. Zh. 40 (1999), no.
1, 91–101; translation in Siberian Math. J. 40
(1999), no. 1, 76–84.
• Nilpotency
of degree 3 that is stable in some class of algebras, Sibirsk. Mat. Zh.
39 (1998), no. 6, 1336–1337;
translation in Siberian
Math. J. 39 (1998), no. 6, 1153–1154.
• (with A. Z. Anan’in) Stability
of nilpotence of the third degree , Sibirsk. Mat. Zh. 35 (1994),
no. 3, 480–494;
translation in Siberian
Math. J. 35 (1994), no. 3, 426–438.
• “Embedding of Calabi-Yau deformations into
toric varieties”, Conference on Geometry and Topology of Quotients,
December 2002, University of Arizona, Tucson.
• “Deformations of Calabi-Yau hypersurfaces”, Isaac Newton
Institute for Mathematical Sciences, June 2002, Cambridge, UK.
• “Recent developments in string cohomology”, EAGER annual
conference 2001 at Sophus Lie conference center, Nordfjordeid, Norway.
• “Cohomology ring of semiample hypersurfaces and nef complete
intersections, and String Cohomology of orbifolds”, Oberwolfach meeting
on Combinatorial Convexity and Algebraic Geometry, January 2001, Mathematisches
Forschungsinstitut Oberwolfach, Germany.
• “The chiral ring of Calabi-Yau hypersurfaces, the roots of An
and a generalization of the monomial-divisor mirror map”, Workshop on
Algebraic Geometry and Physics, International school for advanced studies,
Trieste, Italy, October 2000 (also presented in the Oberseminar at the
Max-Planck-Institut and in “Mathematical Challenges of the 21st
century”, UCLA, 2000.)
• “Mirror Symmetry, cohomology and the chiral ring of Calabi-Yau
hypersurfaces in toric varieties”, the AMS meeting (special session
“Enumerative geometry in physics”), April 2000.
• “Geometry of semiample hypersurfaces in toric varieties”,
Valley Geometry Seminar, November 1998, University of Massachusetts at Amherst.
• “Cohomology of complete intersections in toric varieties”, Midwest
Algebraic Geometry Conference, November 1997, Notre Dame, Indiana.
• Summer 2004 and 2005, Dean's incentive grant.
• Summer 2000, Liftoff program of the Clay Mathematics Institute for the
new Ph.D. recipients in the U.S.
• Fall 1998, Graduate Fellowship, University of Massachusetts at Amherst.
• Summer research grant, 1997, 1998, 1999.
• 1993–1995, a grant for graduate studies in Russia from the
American Mathematical Society.
• Oklahoma State University, Stillwater
Fall 2006: Calculus I
Spring 2006: Algebra II (graduate course)
Fall 2005: Algebra I (graduate course) and Calculus I
Spring 2005: Linear Algebra
Fall 2004: Calculus I and Number Theory.
• Indiana University, Bloomington
Fall 2003: Finite Mathematics and Calculus III,
Spring 2003: Introduction to differential geometry and Calculus
I,
Fall 2002: Algebraic Geometry (graduate course) and Calculus I,
Spring 2002: Finite Mathematics,
Fall 2001: Calculus I.
• University of Massachusetts, Amherst
Instructor, Calculus I and II, 1997-2000; Review sessions for
graduate qualifying exams, 1996-1999.