Curriculum Vitae

Anita Buckley

Personal data:

Education and positions held:

• Master in Informatics at the Università della Svizzera italiana (June 2021), supervised by dr. Charles Alexandre Bédard and professor Stefan Wolf.
• Departmental head for student affairs at Department of Mathematics, University of Ljubljana (September 2017 - October 2019)
• Assistant professor (Docent) for mathematics at the University of Ljubljana (from November 2010)
• Teaching assistant for mathematics at the University of Ljubljana (from 2003)
• PhD in Mathematics at the University of Warwick (June 2003), supervised by dr. Balàzs Szendröi and professor Miles Reid. My examiners were Alessio Corti and Mark Gross.
• Awarded and accepted scholarship from the Mathematics Institute, University of Warwick. Also offered postgraduate positions from Oxford University (professor Francis Kirwan) and Cambridge University (Trinity College for Part III).
• Graduated in Theoretical Mathematics at the Department of Mathematics, University of Ljubljana (1998) with a first class honours degree and a perfect score of 10 (supervised by professor Tomaž Košir )
• Obtained a high school teacher qualification (1999)
• Granted a position of young researcher at IMFM Institute by Slovenian Ministry of Science

Other relevant information:

From September 2004 to February 2006, from January 2007 to May 2008, from October 2009 to January 2011 and from November 2013 to December 2014 on sick / maternity leave.

Mathematical reviewer for AMS.

At Warwick University as a PhD student:

• Position as supervisor for undergraduate students

• COW and CALF at Cambridge, Oxford, Warwick, Liverpool, Brussels
• Junior Geometry Seminar and Algebraic Geometry Seminar at Univ. of Warwick
• Co-ran the Graduate seminar in 2002, Univ. of Warwick

• Introduction to algebraic geometry for non - algebraic geometers
• Group structure on a cubic
• Divisors on determinantal varieties
• Nef cones of toric hypersurfaces
• Linear systems of plane curves
• Graded rings and weighted projective spaces
• Singularities of the MMP

Invited Talks:

• GAEL,Luminy in March 2002 on Linear systems of plane curves with base points of equal multiplicity.
• ANU, Canberra in August 2003 on Orbifold Riemann - Roch and applications to Calabi - Yau threefolds.
• SISA,Trisete in September 2003 on Constructing 3-folds via graded rings.
• AG weekend,Ljubljana in November 2003 on Smooth Calabi-Yau 3-folds in codimension 4.
• Workshop of AG ,Trieste in April 2004 on Calabi-Yau 3-folds in weighted homogeneous varieties.
• TULS weekend,Ljubljana in May 2006 on Self-adjoint determinantal representations of cubic surfaces.
• EUROSIM 2007,Ljubljana in September 2007 on Computing Dedekind sums using the Euclidean algorithm.
• EUROSIM 2007,Ljubljana in September 2007 on Construction of self-adjoint determinantal representations of smooth cubic surfaces.
• School (and workshop) on the geometry of algebraic stacks ,Trento in September 2008 on Plane Curves as Pfaffians.
• Workshop GeoLMI on the geometry and algebra of linear matrix inequalities ,Toulouse in November 2009 on Pfaffian Representations and Elementary Transformations.
• Geometry and Algebra of Orbifolds and the McKay Correspondence ,Warwick in August 2010 on Orbifold Riemann-Roch and Hilbert series.
• Conference on Geometry: Theory and Applications ,Ljubljana in June 2013 on Determinantal representations of cubic curves.
• Linear Algebra Workshop LAW ,Ljubljana in June 2014 on Simultaneously self-adjoint sets of matrices.
• Workshop of Algebraic Geometry ,Trieste in February 2015 on Matrices defining elliptic curves.
• ACM Bundles on Algebraic Varieties , Ankara, Turkey in June 2015 on Matrices defining plane curves.
• 4th Najman Conference on Spectral Problems for Operators and Matrices , Opatija, Croatia in September 2015 on Simultaneously self-adjoint sets of 3x3 matrices (presented by Tomaz Kosir).
• Algebra and Geometry Meeting , Barcelona, Spain in November 2016 on Positive semidefinite determinantal representations of nonnegative polynomials.
• 8th Linear Algebra Workshop , Ljubljana in June 2017 on Indecomposable matrices defining plane cubics.
• 8th Linear Algebra Workshop , Ljubljana in June 2017, WORKING GROUP (with Klemen Sivic) on Positive maps.
• Sums of Squares - Real Algebraic Geometry and its Applications , Innsbruck, Austria in August 2017 on Positive semidefinite quadratic determinantal representations of plane sextics.

Reading Courses with other postgraduate students in Miles Reid research group:

• A. Beauville: Complex Algebraic Surfaces,
• R. Hartshorne: Algebraic Geometry,
• M. Reid: Explicit Birational Geometry of 3-Folds,
• M. Reid: Young person's guide to canonical singularities.

Conferences and Schools:

• May 1999 Advanced School on Geometry of Complex 3-folds, Trento, Italy
• August 1999 Summer School on Algebraic Geometry, ICTP, Trieste, Italy.
• June 1999 International Conference 2nd Linear Algebra Workshop, Bled, Slovenia.
• June 2000 Summer School on Toric Varieties}, Grenoble, France.
• August 2000 Summer School on McKay correspondence, Warwick, England.
• June 2001 Summer School Pragmatic 2001 Catania, Italy.
• September 2001 Conference on Higher Dimensional Varieties and Rational Points, Budapest, Hungary.
• January 2002 School on Rational Singularities, University of Warwick, England.
• March 2002 Conference GAEL (G�om�trie Alg�brique En Libert�) Luminy, France.
• June 2002 Euroconference on higher dimensional complex geometry, Cambridge, England.
• July 2003 Advanced School in Basic Algebraic Geometry, ICTP, Trieste, Italy.
• August 2003 Program for the Minimal Models Activity, The Australian National University, Australia.
• November 2003 Computational Algebraic Geometry, MFO, Oberwolfach, Germany.
• June 2006 Classical Algebraic Geometry,MFO, Oberwolfach, Germany.
• May 2007 Algebraic geometry weekend at Warwick 18th-19th May , COW,Warwick, England.
• May 2007 TULS , SISSA,Trieste, Italy.
• June 2008 Conference on vector bundles , moduli 2008, Miraflores de la Sierra (Madrid), Spain.
• July 2008 60 Miles conference , UCL and LMS London.
• September 2009 Summer School Pragmatic 2009 Catania, Italy.
• February 2012 TULSF , Univ of Trieste, Italy.
• May 2012 Motivic Donaldson-Thomas theory and singularity theory , AIM at Renyi Institute Budapest, Hungary.
• July 2012 The derived category of cubic hypersufaces IMUB Barcelona, Spain.
• September 2012 15 years of Pragmatic Catania, Italy.
• May 2013 Syzygies in Berlin, (junior talk: Pencils of nilpotent matrices) Freie Universit�t, Berlin, Germany.
• September 2013 TULSF , Univ of Ljubljana.
• August 2015 2015 GBMS Conference , University College Cork, Ireland.
• April 2016 COW, and Rouse Ball Lecture, Ravi Vakil: Cutting and pasting in algebraic geometry, Cambridge, UK.
• May 2016 Victor Vinnikov: Determinantal representations of algebraic curves in projective space , SISSA, Italy.
• June 2018 Tensors: Geometry and Quantum Information, Niels Bohr Institute, Copenhagen, Denmark.
• September 2018 Tensors , Politecnico di Torino, Italy.
• July 2021 Tensor Networks: Quantum Physics, Geometry and Applications , Trento, Italy.

Visits:

• May 2007, University of Warwick, England.

• February 2009, Shengtian Zhou from University of Warwick, England and Nils Henry Williams Rasmussen from Bergen university, Norway.

• June 2011, University of Warwick, England.

• March 2016, Gavin Brown from University of Warwick, England

• November 2016, Ada Boralevi from SISSA, Trieste

Papers and PhD thesis and Master's thesis

From 1. February to 19. July 2002 I was an Affiliated Participant of the Isac Newton Institute for Mathematical Sciences, Cambridge

In spring 2011 I gave a course to PhD students at SISSA,Trieste, Italy (Algebraic surfaces, Toric varieties; 20 lectures = 40 hours).

In winter 2012/13 I gave a course to PhD students at Department of Mathematics, University of Ljubljana (Algebraic Geometry: The geometry of schemes; 15 lectures = 30 hours).

In spring 2016 I gave a course - seminar in Classical Algebraic Geometry to graduate students and colleagues at Univ. of Ljubljana