
Radu Laza
Associate Professor
Department of Mathematics
Stony Brook University

During AY2016/17, I will be on sabbatical leave. I will be hosted by ENS and College de France. My stay is supported by FSMP (Chaire Junior) and the
Simons Fellow program.
Office: Math 4121
Email: radu.laza@stonybrook.edu
Teaching
Resume
Research Algebraic
Geometry, esp. moduli problems, degenerations, singularities, special
classes of varieties (K3s, CalabiYau, Hyperkahler manifolds).
Recent & Selected Publications:
 GIT versus BailyBorel compactification for K3's which are quartic surfaces or double covers of quadrics, (with K. O'Grady), preprint 2016.
 Birational geometry of the moduli space of quartic K3 surfaces, (with K. O'Grady), preprint 2016.
 A hyperKaehler compactification of the Intermediate Jacobian fibration associated to a cubic fourfold (with G. Saccà and C. Voisin), to appear in Acta Math.
 Complete moduli of cubic threefolds and their intermediate Jacobians (with S. CasalainaMartin, S. Grushevsky, and K. Hulek), preprint 2015.
 Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with S. CasalainaMartin, S. Grushevsky, and K. Hulek), J. Eur. Math. Soc 19 (2017), no. 3, 659723.
 The KSBA compactification for the moduli space of degree two K3 pairs, J. Eur. Math. Soc. 18 (2016), no. 2, 225279.
 Log canonical models and variation of GIT for genus four canonical curves (w. S. CasalainaMartin and D. Jensen), J. Algebraic Geom. 23 (2014), 727764.
 Semialgebraic horizontal subvarieties of CalabiYau type (w. R. Friedman), Duke Math. J. 162 (2013), no. 12, 20772148.
 Simultaneous semistable reduction for curves with ADE singularities (w. S. CasalainaMartin), Trans. Amer. Math. Soc. 365 (2013), no. 5, 22712295.
 Moduli space of cubic fourfolds via the period map, Ann. of Math. 172 (2010), no. 1, 673711.
 Moduli space of cubic fourfolds (the GIT compactification), J. Algebraic Geom. 18 (2009), 511545.
 The moduli space of cubic threefolds via degenerations of the intermediate Jacobian (w. S. CasalainaMartin), J. Reine Angew. Math. 633 (2009), 2965.
Expository:
 Classical Period Domains (with Z. Zhang), in Recent Advances in Hodge Theory (London Mathematical Society Lecture Note Series), Cambridge Univ. Press, 2016.
 Perspectives on the construction and compactification of moduli spaces, in Compactifying Moduli Spaces (Advanced Courses in Mathematics, CRM Barcelona), Birkhauser, 2016, 135.
 GIT and moduli with a twist, in "Handbook of Moduli" vol. 2, Adv. Lect. Math. 25 (2013), Int. Press, 259297.
Expository lecture series given at: Luminy (Jan 2017), Guanajuato (CIMPACIMATICTP school, Feb 2016), Angers (June 2014), KAIST (Mar 2014), Fields Institute (Aug and Nov 2013), Vancouver (Jul 2013), Barcelona (May 2013).
Books edited:
My papers on arXiv. My Scholar profile.
My research is partially supported by NSF (CAREER DMS125481). I am also part of an FRG group "Hodge theory, Moduli and Representation theory" (DMS1361143) with P. Brosnan, M. Kerr, G. Pearlstein, and C. Robles. The generous support of Simons Foundation and FSMP (Paris) is also acknowledged.
Activities
Past Activities
 HyperKaehler Manifolds, Hodge Theory and Chow Groups (Sanya, China, Dec 1823, 2016)
 CalabiYau varieties: Arithmetic, geometry and physics (Herstmonceux Castle, East Sussex, UK, June 2025, 2016)
 Algebraic Cycles and Moduli (CRM Montreal, June 28, 2016)
 Program on Complex, padic, and logarithmic Hodge theory and their applications (SCGP, MarApr, 2016)
 Program on
Moduli spaces and singularities in algebraic and Riemannian geometry (SCGP, AugNov, 2015)
 Minischool on Invariants of Singularities in zero and positive characteristics (December 4, 2015, Stony Brook)
 Collapsing CalabiYau Manifolds (SCGP, Aug 31Sept 4, 2015)
 Topology of algebraic varieties (IAS, 20142015)
 Perspectives on complex algebraic geometry (Columbia University, May 2225, 2015)
 New techniques in birational geometry (Stony Brook, April 610, 2015)
 K3, Enriques Surfaces and Related Topics (Nagoya, Nov 1014, 2014)
 Thematic Program on CalabiYau varieties (Fields Institute, Fall 2013).
Students/Postdocs
 Adrian Brunyate (NSF postdoc)
 Giulia Sacca (postdoc)
 Letao Zhang (postdoc)
Former Associates
 Zheng Zhang (geometric and motivic realizations of VHS)  now at TAMU
 Patricio Gallardo (moduli of surfaces of general type, esp. quintics)  now at U. Georgia
 Thao Do (undergraduate, Honors Thesis: On Delsarte surfaces with log canonical singularities)  now at MIT
 Ken Ascher (undergraduate, Honors Thesis)  now at Brown.
 Ren Yi (undergraduate)  now at Brown.
 Dave Jensen (postdoc)  now at U. Kentucky.
Personal  Irina & Iuliana
Address
Mathematics Department
Stony Brook University
Stony Brook, NY 117943651
Office Phone: (631) 6324506
Last Modified: Feb 1, 2017