Radu Laza


Mathematics Department
Stony Brook University
Stony Brook NY, 11794-3651
Office : Math Tower 4-121
Phone : (631) 632-4506
E-mail : rlaza@math.sunysb.edu
URL : http://www.math.sunysb.edu/~rlaza/

EMPLOYMENT   Stony Brook University, 2009-
Assistant Professor
  MSRI, Winter 2009
Postdoctoral Fellow
  University of Michigan, 2006-2008
Assistant Professor (PostDoc)
VISITS   Fields Institute, Fall 2013
  RIMS, Jun-Jul 2013
  IHES, Summer 2010
  Harvard, Summer 2007, 2008
  Nagoya University, February 2007
EDUCATION   Ph.D. in Mathematics, May 2006
Columbia University, Advisor: R. Friedman
  Dipl. Math., Dec. 2000
University of Kaiserslautern
  B.S. in Mathematics, June 2000
University of Bucharest
   
RESEARCH
INTERESTS
  Algebraic Geometry
  In particular: degenerations of algebraic varieties, singularities, moduli problems (esp. the interaction between various points of view in the compactification problem), geometry and periods of special varieties (K3, Calabi-Yau, Hyperkahler).
   
PUBLICATIONS   Extending the Prym map to toroidal compactifications of the moduli space of abelian varieties (with S. Casalaina-Martin, S. Grushevsky, and K. Hulek), preprint (arXiv:1403.1938).
  Perspectives on the construction and compactification of moduli spaces, to appear in "Compactifying Moduli Spaces", CRM Lecture Notes (arXiv:1403.2105).
  The KSBA compactification for the moduli space of degree two K3 pairs, preprint (arXiv:1205.3144).
  Triangulations of the sphere and degenerations of K3 surfaces, preprint (arXiv:0809.0937).
  Log canonical models and variation of GIT for genus four canonical curves (w. S. Casalaina-Martin and D. Jensen), J. Algebraic Geom. 23 (2014), 727-764.
  On some Hermitian variations of Hodge structure of Calabi-Yau type with real multiplication(w. R. Friedman), Michigan Math. J. 63 (2014), no. 1, 83-99.
  Semi-algebraic horizontal subvarieties of Calabi-Yau type (w. R. Friedman), Duke Math. J. 162 (2013), no. 12, 2077-2148.
  GIT and moduli with a twist, in "Handbook of Moduli" vol. 2, Adv. Lect. Math. 25 (2013), Int. Press, 259-297.
  Simultaneous semistable reduction for curves with ADE singularities (w. S. Casalaina-Martin), Trans. Amer. Math. Soc. 365 (2013), no. 5, 2271-2295.
  The geometry of the ball quotient model of the moduli space of genus four curves (w. S. Casalaina-Martin and D. Jensen), in "Compact Moduli Spaces and Vector Bundles" (Proceedings of the conference held at U. Georgia, Athens, GA, Oct 2010), Contemp. Math. 564 (2012), 107-136.
  The moduli space of cubic fourfolds via the period map, Ann. of Math. 172 (2010), no. 1, 673-711
  The moduli space of cubic fourfolds, J. Algebraic Geom. 18 (2009), 511-545.
  The moduli space of cubic threefolds via degenerations of the intermediate Jacobian (w. S. Casalaina-Martin), J. Reine Angew. Math. 633 (2009), 29-65.
  Counting the hyperplane sections with fixed invariants of a plane quintic (w. C. Cadman), Adv. Geom. 8 (2008), 531-549.
  Deformations of singularities and variations of GIT quotients, Trans. Amer. Math. Soc. 361 (2009), no. 4, 2109-2161
  Maximal Cohen-Macaulay modules over the cone of an elliptic curve (w. G. Pfister and D. Popescu), Journal of Algebra 253 (2002), no. 2, 209--236.
  Maximal Cohen-Macaulay modules over Y13+...+Yn 3 with few generators (w. L. O'Carroll and D. Popescu), Math. Rep. 3 (53) (2001), no. 2, 177--185.
   
INVITED TALKS   Conferences & Workshops: Thematic program on Moduli spaces of real and complex varieties, Angers (June 2014); K3 and their moduli, Schiermonnikoog (May 5-9, 2014); KAIST School on Algebraic Geometry, Daejeon, (Mar 18-21, 2014); AMS Sectional Meeting, Temple University (Oct 12-13, 2013); Development of Moduli theory, Kyoto, (Jun 17-21, 2013); Recent Advances in Hodge Theory (Period domains, Algebraic cycles, and Arithmetic), Vancouver, (Jun 10-20, 2013); Summer School on Compactifying Moduli Spaces, CRM (Barcelona), (May 27-31, 2013); Deformation and Moduli in Complex Geometry, KIAS (Seoul), (Mar 25-29, 2013); New Trends in Arithmetic and Geometry of Algebraic Surfaces, Luminy, (Mar 11-15, 2013); Log minimal model program for moduli spaces, AIM Workshop (Dec 10-14, 2012); Algebraic geometry, modular forms and applications to physics, Edinburgh (Nov 26-30, 2012); Algebraic and Complex Geometry, Hanover (Sept 10-14, 2012); Komplexe Analysis, Oberwolfach (Sept 3-7, 2012); Arithmetic, Motives and Moduli spaces, Paris (Jan 9-13, 2012); Workshop on Moduli and Birational Geometry, Postech (Jul 11-5,2011); Compact Moduli and Vector Bundles, Athens, GA (Oct 21-24, 2010); Workshop on elliptic fibrations and K3 surfaces, Berlin (Jul 14-16, 2010); Complex Algebraic Geometry Conference (Paris, Jun 28- Jul 2, 2010); AGNES, Spring 2010, Amherst (Apr 9-11, 2010); Workshop on higher dimensional algebraic geometry, Taipei (Mar 29-Apr 2); Conference on Algebraic and Arithmetic Geometry, Essen (Feb 16-20, 2010); First AMS-KMS Meeting, Seoul (Dec 17-22, 2009); Workshop on Complex Geometry at KIAS, Seoul (Sept 7-11, 2009); Moduli and discrete groups, Kyoto (June 8-12, 2009); Arithmetic Algebraic Geometry Related to Moduli Spaces, Tokyo (Jan 19-23, 2009); Aspects of Moduli, Pisa (June 23-27, 2008); OSU-UM Algebraic Geometry Workshop (Mar 2007).
  Colloquia: Kyoto University (June 2013), U. North Carolina (Feb 2009), Stony Brook (Feb 2009), U. Wisconsin (Jan 2009), UC Davis (Jan 2009), UC Irvine (Jan 2009), Boston College (Jan 2009), Ohio State (Dec 2008), Michigan State (Dec 2008), Rice (Nov 2008).
  Seminars: Johns Hopkins (Apr 2014), Univ. Paris VI (Jussieu, Jan 2014), Boston College (Oct 2013), Nagoya University (July 2013), Penn State (Apr 2013), TAMU (Mar 2012), Rice (Feb 2012), Stony Brook (Feb 2012), KIAS (Jul 2011), Bonn (Jul 2010), Hannover (Jun 2010), Rome (June 2010), Columbia (Apr 2010), UPenn (Apr 2010), Princeton (Sept 2009), MSRI (May 2009), UIUC (Nov 2008), Columbia (Nov 2008), U. Wisconsin (Oct 2008), Ohio State (Oct 2008), Harvard/MIT (Oct 2008), U. Texas (Oct 2008), U. Michigan (Oct 2008), U. Georgia (Sept 2008), Nagoya University (Feb 2008), UIC (Feb 2008), Harvard/MIT (Mar 2007), U. Michigan (Sept 2006), Rice (Mar 2006), Johns Hopkins (Oct 2005), Columbia (Sept 2005), U. Michigan (May 2005), Stony Brook (Oct 2004), HU Berlin (Jan 2001).
   
ACTIVITIES   K3, Enriques Surfaces and Related Topics (Nagoya, Nov 10-14, 2014)
  AGNES (Stony Brook, Apr 2014/ Oct 2011/ Oct 2009)
supported by NSF DMS-1360586 and DMS-1066154.
  Mini-course on Dynamics and Algebraic Surfaces (SBU, April 9, 2014).
  Thematic Program on Calabi-Yau varieties (Fields Institute, Fall 2013)
  Mini-course on K-stability (Stony Brook, Dec 6, 2013)
  Workshop on Arithmetic and Geometry of K3 surfaces and Calabi-Yau threefolds (Fields Institute, Aug 16-25, 2011)
supported by NSF DMS-1100007.
TEACHING
  Instructor (Stony Brook, 2009-)
Undergraduate seminar in Mathematics (Spring '13), Intro to Lie groups and Lie algebras Calculus with Applications (Spring' 13), Algebra III (Fall' 12), Undergraduate Algebraic Geometry (Fall '11), Topics in AG - Deformation Theory (Fall '11), Algebra I (Fall '10), Abstract Algebra (Fall '10, Fall '09), Calculus 1 (Spring '10), Calculus A (Spring '10).
  Instructor (U of Michigan, 2006-2008)
Linear Algebra (Fall' 08, Winter '08), Probabilities (Fall '08, Fall '07), Complex Analysis (Winter '07), Calculus 2 (Fall '06).
  Instructor (Columbia, 2003-2004)
Calculus 2 (Spring '04, Summer '03, Summer '04), College Algebra (Fall '03).
  Undergraduate Mentoring/Research (Stony Brook, since 2010)
T. Do (Honors Thesis, expected graduation 2014, going to MIT), K. Ascher (Honors Thesis, graduated 2012, now at Brown), R. Yi (graduated 2012, now at Brown), N. Valente (graduated 2011, now at SBU, MS program).
  Putnam Team Trainer (Columbia, 2002-2003)
  Wissenschaftlicher Mitarbeiter (HU Berlin, Feb. 2001 - July 2001)
collaborated on the textbook Lineare Algebra individuell (by M. Roczen).
   
AWARDS AND
HONORS
  NSF CAREER Grant DMS-1254812 (2013-2018).
  NSF FRG Grant DMS-1361143 (2014-2017).
  Sloan Fellowship (2010-2013).
  NSF Grant DMS-1200875 (2012-2015).
  NSF Grant DMS-0968968 (2009-2012).
 

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