CURRICULUM VITAE OF NIKOLAOS TZIOLAS

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1 CURRICULUM VITAE OF NIKOLAOS TZIOLAS Birthplace: Kastoria, Greece. Citizenship: Greek. Personal Information. Contact Information. Mailing address: Department of Mathematics and Statistics, University of Cyprus, P.O. Box 20537, 1678 Nicosia, Cyprus. Office phone: Website: tziolas Education. Ph.D. in Mathematics, University of Utah, USA, Ph.D. Supervisor: János Kollár. Dissertation title: Multiplicities of smooth rational curves on singular local complete intersection Calabi-Yau threefolds. Ptyhion in Mathematics, Aristotelian University of Thessaloniki, Thessaloniki, Greece, Research Interests. Algebraic Geometry. In particular, higher dimensional birational geometry, deformation theory and moduli of canonically polarized varieties in positive characteristic. Research Programs. Title: Moduli of canonically polarized varieties in positive characteristic. Funding source: Research European Agency, Marie Curie International Outgoing Fellowship. Grant number: PIOF-GA Amount: e Duration: January January Participating institutions: University of Cyprus, Princeton University. Fellowships and Awards. Marie Curie International Outgoing Fellowship, January January JSPS (Japan Society for the Promotion of Science) fellowship, 03/ /2006. Marie Curie Research Fellow, University of Warwick, May May Marie Curie Research Fellow, University of Crete, September September University of Utah teaching Fellow, 1996 May Scholarship from the Greek Scholarships Foundation (I.K.Y.),

2 2 Employment. Associate Professor, University of Cyprus, Present. Assistant Professor, University of Cyprus, 08/ /2010. JSPS Fellow, University of Tokyo, March August Visiting Assistant Professor, University of Washington, September March Marie Curie Research Fellow, University of Crete, Greece, September September Max Planck Institute for Mathematics, Bonn, Germany., September September Marie Curie Research Fellow, Mathematics Institute, University of Warwick, United Kingdom, May May Visiting Assistant Professor, Oklahoma State University, August May Visiting positions. Visiting Researcher, Max Planck Institute for Mathematics, Bonn, 01/05/ /07/2019. Visiting Researcher, Max Planck Institute for Mathematics, Bonn, 01/06/ /08/2016. Visiting Research Associate, Princeton University, 05/01/ /01/2016. Visiting Researcher, Max Planck Institute for Mathematics, 15/04/ /08/2009. MSRI Research Member, Berkeley, 01/01/ /03/2009. Lectures given in University of Warwick, UK, July University of Ioannina, Greece, June University of Rome La Sapienza, Italy, June University of Florence, Italy, May Max Planck Institute for Mathematics, Bonn, Germany, July 21, WAGS, Western Algebraic Geometry Symposium, University of Washington, Seattle, USA, October 17-18, University of Michigan, Ann Arbor, USA, September 23, AMS Summer Institute in Algebraic Geometry, Salt Lake City, Utah, USA, July 13-18, University of Utah, USA, 04/07/2015. Institute of Advance Study (IAS), Princeton, USA, 02/25/2015. Past Lectures. University of Osaka, University of Bayreyth, ICMS (University of Edinburgh), Sogang University, KIAS, University of Tokyo, University of Cyprus, Research Institute for Mathematical Sciences (RIMS) in Kyoto, University of Washington, Pacific Northwest Algebraic Geometry Seminar, University of Crete, Aristotle University of Thessaloniki, University of Warsaw, University of Cambridge, Max Planck Institut for Mathematics, Princeton University, Oklahoma State University, Universität Zurich, University of Warwick, Isaac Newton Institute, University of Utah.

3 Invited Talks at Conferences, Workshops. AMS Summer Institute in Algebraic Geometry, Salt Lake City, Utah, July WAGS, Western Algebraic Geometry Symposium, University of Washington, Seattle, October 17-18, Workshop on higher dimensional algebraic geometry, University of Tokyo, Japan, 13-18/01/2013. Classification of algebraic varieties, Schiermonnikoog, Netherlands, May 10-15, Higher dimensional algebraic geometry, ICMS, University of Edinburgh, September 19-23, Higher dimensional birational geometry, University of Warwick, December 16-21, Algebraic geometry and commutative algebra, University of Tokyo, December 12-16, Algebraic surfaces and 4-manifolds, KIAS, Korea, May 23 - May 26, International symposium on derived categories, Tanbara, Japan, July 13-17, Symposium in higher dimensional birational geometry, Newton Institute, Cambridge, United Kingdom, February 4 - July 19, COW meeting, University of Cambridge, October Symposium in higher dimensional birational geometry, Newton Institute, Cambridge, United Kingdom, February 4 - July 19, COW meeting, University of Warwick, June Other Conferences, Scientific Events Attended Higher dimensional birational geometry, University of Warwick, July Special Day in Algebraic Geometry, Institute of Advanced Study, Princeton, April Workshop on higher dimensional algebraic geometry, University of Tokyo, Japan, 13-18/01/2013. Higher Dimensional Algebraic Geometry, University of Tokyo, Japan, 7-11/01/2013. Minimal Models and Extremal Rays, RIMS, Kyoto, Japan, June 20-24, IMPANGA summer school in Algebraic Geometry, Institute of Mathematics the Polish Academy of Science, Bedlewo, Poland, July 4-10, Complex Algebraic Geometry, Institute Henri Poincare, Paris, 28/06-02/07, Modern moduli theory, MSRI, February 23-27, Classical algebraic geometry today, MSRI, January 26-30, Miles, London Mathematical Society, July 15-19, Recent trends in higher dimensional algebraic geometry, BIRS, Banff, Canada, April 1 - April 7, AMS Summer institute in algebraic geometry, University of Washington, USA, July 25 - August 14, Western Algebraic Geometry Seminar (WAGS), Colorado State University, October 9-10, Workshop on noncommutative algebra and algebraic geometry, University of Warwick, June 14-18, Arbeitstagung 2003, Universität Bonn, June Conference Higher dimensional varieties and rational points at the Renyi Institute of Mathematics, Budapest, Hungary, September

4 4 Meeting on Explicit 3-fold birational geometry, University of Tokyo, December Visited RIMS (Research Institute for Mathematical Sciences) in Kyoto, Japan, November 30 - December 6. Conference in algebraic geometry, University of Utah, March Conference in algebraic geometry, University of Missouri, Columbia, October Conference in algebraic geometry, MSRI, University of California, Berkeley, December Mountain west conference in algebraic geometry, University of Oklahoma, Stillwater, April Conference in algebraic geometry, University of California, Riverside, February Conference in algebraic geometry, University of Illinois, Chicago, October Teaching Experience During my employment at the University of Cyprus, I have repeatedly taught the following, undergraduate and graduate level, classes: Undergraduate level: Linear Algebra I, II (MAS121, MAS 122), Introduction to Algebra (MAS 321), Introduction to Algebraic Topology (MAS 433), Theory of Rings and Modules (MAS 424), Mathematics for Engineers (MAS 033, MAS 043), Introductory Mathematics I-II (MAS 014, MAS 015), Calculus for computer scientists (MAS 013), Calculus II (MAS 022), Mathematics II (MAS002), Mathematics for Physicists (MAS 004), Ordinary Differential Equations (MAS 024) Graduate Level: Commutative Algebra (MAS 624), Algebraic Topology (MAS 634), Algebraic Geometry (MAS 639), Topics in Algebra (Elliptic Curves) (MAS 629). Administrative duties. I am the coordinator of the committee of undergraduate studies of our department. I have served as the coordinator of the Erasmus program committee of our department. Between January 2012 and January 2013 I was the organizer of the department seminar. Other Academic Activities I was an external referee for the Master thesis of Christoforos Neofytidis that he wrote under the supervision of Prof. Matthias Kreck at the University of Bonn in June I was an external referee for the Ph.D. thesis of Wenfei Liu at the University of Bayreyth, Germany, February I am a reviewer for Zentralblatt Math. I have refereed for the Duke Mathematical Journal, Mathematische Annalen, Annali di Scuola Normale Superiore, Proceedings of the Edinburgh Mathematical Society, Mathematische Zeitschrift, Journal of Pure and Applied Algebra and International Journal of Mathematics, Publications of the Research Institute for Mathematical Sciences (PRIMS), Kyoto University. I am a member of the American Mathematical Society.

5 Published Papers (1) Multiplicities of smooth rational curves on singular local complete intersection Calabi- Yau threefolds, Journal of Algebraic Geometry 10 (2001), (2) Infinitesimal extensions of P 1 and their Hilbert schemes, Manuscripta Mathematica 108 (2002), (3) Terminal 3-fold divisorial contractions of a surface to a curve I, Compositio Mathematica 193 no. 3 (2003), (4) Families of D-minimal models and applications to 3-fold divisorial contractions, Proceedings of the London Mathematical Society (2005) 90 (2), (5) Three dimensional divisorial extremal neighborhoods, Mathematische Annalen 333 (2005), (6) Corringendum: Families of D-minimal models and applications to 3-fold divisorial contractions, Proceedings of the London Mathematical Society (2006) 93 (3), (7) Q-Gorenstein smoothings of non-normal surfaces, American Journal of Mathematics 131 (2009), (8) 3-Fold divisorial contractions of divisors to curves through ce 7 and ce 6 Compound DuVal singularities, International Journal of Mathematics 21 (2010), no 1, (9) Smoothings of schemes with non-isolated singularities, Michigan Journal of Mathematics 59 (2010), no1, (10) First order deformations of schemes with normal crossing singularities, Manuscripta Mathematica 136 (2011), vol 3-4, (11) Smoothings of Fano varieties with normal crossing singularities, Proceedings of the Edinburgh Mathematical Society (2015), 58, (12) Quotients of schemes by α p or µ p actions in characteristic p > 0. Manuscripta Mathematica (2017), 152, (13) Automorphisms of smooth canonically polarized surfaces in positive characteristic. Advances in Mathematics 310C (2017), Submitted for publication (1) Vector fields and moduli of canonically polarized surfaces in positive characteristic, 34 pages, available at References (1) János Kollár, Professor of Mathematics, Princeton University. kollar@math.princeton.edu (2) Miles Reid, Professor of Mathematics, University of Warwick. Miles.Reid@warwick.ac.uk (3) Alessio Corti, Professor of Mathematics, Imperial College London. a.corti@imperial.ac.uk 5

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