Dr Behrouz Taji

Senior Lecturer

PhD 2014, McGill University

Part III in Pure Mathematics 2008, University of Cambridge

Msci in Mathematics 2007, Imperial College London

Science

School of Mathematics & Statistics

I am an algebraic geometer, interested in interactions between birational geometry, Hodge theory, moduli spaces and canonical metrics.

E-mail

b.taji@unsw.edu.au

Location

School of Mathematics and Statistics UNSW Sydney Sydney NSW 2052 The Red Centre

Book Chapters | 2025

Taji B, 2025, 'Birational Properties of Base Spaces of Smooth Projective Families of Good Minimal Models', in ZAG Handbook of Algebraic Geometry, Chapman and Hall/CRC, pp. 768 - 771, http://dx.doi.org/10.1201/9781003286363-195

Book Chapters | 2018

Greb D; Kebekus S; Taji B, 2018, 'Uniformisation of higher-dimensional minimal varieties', in , American Mathematical Society, pp. 277 - 308, http://dx.doi.org/10.1090/pspum/097.1/10
Journal articles | 2026

Ascher K; Taji B, 2026, 'Boundedness results for families of non-canonically polarized projective varieties', Journal Fur Die Reine Und Angewandte Mathematik, 2026, pp. 233 - 260, http://dx.doi.org/10.1515/crelle-2025-0092

Journal articles | 2024

Kovács SJ; Taji B, 2024, 'Arakelov inequalities in higher dimensions', Journal Fur Die Reine Und Angewandte Mathematik, 2024, pp. 115 - 145, http://dx.doi.org/10.1515/crelle-2023-0075

Journal articles | 2023

Kovács SJ; Taji B, 2023, 'Hodge sheaves underlying flat projective families', Mathematische Zeitschrift, 303, http://dx.doi.org/10.1007/s00209-023-03219-4

Journal articles | 2023

Rousseau E; Taji B, 2023, 'Chern class inequalities for nonuniruled projective varieties', Bulletin of the London Mathematical Society, 55, pp. 2856 - 2875, http://dx.doi.org/10.1112/blms.12898

Journal articles | 2023

Rousseau E; Taji B, 2023, 'ORBIFOLD CHERN CLASSES INEQUALITIES AND APPLICATIONS', Annales De L Institut Fourier, 73, pp. 2371 - 2410, http://dx.doi.org/10.5802/aif.3571

Journal articles | 2023

Taji B, 2023, 'Birational geometry of smooth families of varieties admitting good minimal models', European Journal of Mathematics, 9, http://dx.doi.org/10.1007/s40879-023-00681-6

Journal articles | 2022

Guenancia H; Taji B, 2022, 'Orbifold stability and Miyaoka–Yau inequality for minimal pairs', Geometry and Topology, 26, pp. 1435 - 1482, http://dx.doi.org/10.2140/gt.2022.26.1435

Journal articles | 2021

Taji B, 2021, 'On the Kodaira dimension of base spaces of families of manifolds', Journal of Pure and Applied Algebra, 225, pp. 106729 - 106729, http://dx.doi.org/10.1016/j.jpaa.2021.106729

Journal articles | 2020

Greb D; Kebekus S; Peternell T; Taji B, 2020, 'Harmonic metrics on Higgs sheaves and uniformization of varieties of general type', Mathematische Annalen, 378, pp. 1061 - 1094, http://dx.doi.org/10.1007/s00208-019-01906-4

Journal articles | 2019

Cadorel B; Rousseau E; Taji B, 2019, 'Hyperbolicity of singular spaces', Journal de l’École polytechnique — Mathématiques, 6, pp. 1 - 18, http://dx.doi.org/10.5802/jep.85

Journal articles | 2019

Daniel GREB ; Stefan KEBEKUS ; Thomas PETERNELL ; Behrouz TAJI , 2019, 'The Miyaoka-Yau inequality and uniformisation of canonical models', Annales scientifiques de l'École normale supérieure, 52, pp. 1487 - 1535, http://dx.doi.org/10.24033/asens.2414

Journal articles | 2019

Greb D; Kebekus S; Peternell T; Taji B, 2019, 'Nonabelian Hodge theory for klt spaces and descent theorems for vector bundles', Compositio Mathematica, 155, pp. 289 - 323, http://dx.doi.org/10.1112/s0010437x18007923

Journal articles | 2019

Popa M; Taji B; Wu L, 2019, 'Brody hyperbolicity of base spaces of certain families of varieties', ALGEBRA & NUMBER THEORY, 13, pp. 2205 - 2242, http://dx.doi.org/10.2140/ant.2019.13.2205

Journal articles | 2016

Lu S; Taji B, 2016, 'A Characterization of Finite Quotients of Abelian Varieties', International Mathematics Research Notices, pp. rnw251 - rnw251, http://dx.doi.org/10.1093/imrn/rnw251

Journal articles | 2016

Taji B, 2016, 'The isotriviality of smooth families of canonically polarized manifolds over a special quasi-projective base', Compositio Mathematica, 152, pp. 1421 - 1434, http://dx.doi.org/10.1112/s0010437x1600734x

Journal articles | 2014

Taji B, 2014, 'Birational positivity in dimension 4 ', Annales de l'Institut Fourier, 64, pp. 203 - 216, http://dx.doi.org/10.5802/aif.2845
Preprints | 2024

Ascher K; Taji B, 2024, Boundedness results for families of non-canonically polarized projective varieties, http://dx.doi.org/10.48550/arxiv.2408.15153

Preprints | 2023

Kovács SJ; Taji B, 2023, Hodge sheaves underlying flat projective families, http://dx.doi.org/10.48550/arxiv.2103.03515

Preprints | 2023

Kovács SJ; Taji B, 2023, The relative Du Bois complex -- on a question of S. Zucker, http://dx.doi.org/10.48550/arxiv.2307.07192

Preprints | 2023

Taji B, 2023, Birational geometry of smooth families of varieties admitting good minimal models, http://dx.doi.org/10.48550/arxiv.2005.01025

Preprints | 2022

Kovács SJ; Taji B, 2022, Arakelov inequalities in higher dimensions, http://dx.doi.org/10.48550/arxiv.2205.00761

Preprints | 2022

Rousseau E; Taji B, 2022, Chern class inequalities for non-uniruled projective varieties, http://dx.doi.org/10.48550/arxiv.2208.01343

Preprints | 2022

Rousseau E; Taji B, 2022, Orbifold Chern classes inequalities and applications, http://dx.doi.org/10.48550/arxiv.1611.06420

Preprints | 2021

Guenancia H; Taji B, 2021, Orbifold Stability and Miyaoka-Yau Inequality for minimal pairs, http://dx.doi.org/10.48550/arxiv.1611.05981

Preprints | 2021

Taji B, 2021, On the Kodaira dimension of base spaces of families of manifolds, http://dx.doi.org/10.48550/arxiv.1809.05616

Preprints | 2019

Greb D; Kebekus S; Peternell T; Taji B, 2019, Harmonic metrics on Higgs sheaves and uniformization of varieties of general type, http://dx.doi.org/10.48550/arxiv.1804.01266

Preprints | 2019

Greb D; Kebekus S; Peternell T; Taji B, 2019, The Miyaoka-Yau inequality and uniformisation of canonical models, http://dx.doi.org/10.48550/arxiv.1511.08822

Preprints | 2018

Cadorel B; Rousseau E; Taji B, 2018, Hyperbolicity of singular spaces, http://dx.doi.org/10.48550/arxiv.1710.08832

Preprints | 2018

Greb D; Kebekus S; Peternell T; Taji B, 2018, Nonabelian Hodge Theory for klt spaces and descent theorems for vector bundles, http://dx.doi.org/10.48550/arxiv.1711.08159

Preprints | 2018

Popa M; Taji B; Wu L, 2018, Brody hyperbolicity of base spaces of certain families of varieties, http://dx.doi.org/10.48550/arxiv.1801.05898

Preprints | 2016

Claudon B; Kebekus S; Taji B, 2016, Generic positivity and applications to hyperbolicity of moduli spaces, http://dx.doi.org/10.48550/arxiv.1610.09832

Preprints | 2016

Greb D; Kebekus S; Taji B, 2016, Uniformisation of higher-dimensional minimal varieties, http://dx.doi.org/10.48550/arxiv.1608.06644

Preprints | 2016

Lu S; Taji B, 2016, A characterization of finite quotients of Abelian varieties, http://dx.doi.org/10.48550/arxiv.1410.0063

Conference Papers | 2015

Taji B; Greb D; Kebekus S, 2015, 'Uniformization of higher dimensional minimal varieties', in Proceedings of the 2015 AMS Summer Institute in Algebraic Geometry, Salt Lake City, Salt Lake City, USA, presented at 2015 AMS Summer Institute in Algebraic Geometry 2015 AMS Summer Institute in Algebraic Geometry, Salt Lake City, USA, 10 July 2015, https://bookstore.ams.org/pspum-97/

Preprints | 2015

Taji B, 2015, The isotriviality of families of canonically-polarized manifolds over a special quasi-projective base, http://dx.doi.org/10.48550/arxiv.1310.5391

Preprints | 2013

Taji B, 2013, Birational positivity in dimension 4 (with an appendix by Frédéric Campana), http://dx.doi.org/10.48550/arxiv.1304.6686

2024-2027 ARC Discovery Project - DP240101934 Deformation of Singularities through Hodge theory and derived categories (Partner Investigator: S. Kovács)
2024-2025 IEA 2024-2025 with E. Rousseau (Source: CNRS)

Follow

Dr Behrouz Taji