Homepage of Eleonore Faber
I am an Associate Professor at the University of Leeds . I am CoI on the EPSRC programme grant Combinatorial Representation Theory: Discovering the Interfaces of Algebra with Geometry and Topology , 20222027. From August 20182020 I was a Marie Curie Fellow.
Before coming to Leeds, I was a Post Doc Assistant Professor at the University of Michigan in Ann Arbor, working with Prof. Karen Smith .
Even before, I was an FWF ErwinSchroedinger fellow at the University of Toronto where my mentor was Prof. RagnarOlaf Buchweitz .
During the spring semester 2015 I was a a post doctoral fellow at the MittagLeffler Institute (Stockholm, Sweden) for the Program Representation Theory and spring 2013 I spent as a research member at the MSRI in Berkeley for the Program Commutative Algebra . I graduated sub auspiciis praesidentis rei publicae in March 2012 from the University of Vienna , where my thesis advisor was Prof. Herwig Hauser.
Leeds Algebra Seminar
In 2022 I am the organizer of the Algebra Seminar at the University of Leeds.
Also check out the
FD seminar: Online seminar on representation theory of finite dimensional algebras
organized together with Gustavo Jasso (Bonn), Ryan Kinser (Iowa), Julian Külshammer (Uppsala), Rosanna Laking (Verona), Alexandra Zvonareva (Stuttgart)
I am the local Leeds organizer for the GlasgowLiverpoolEdinburghNewcastle (GLEN) algebraic geometry seminar. The main organizer is Johan Martens .
Teaching
I will be teaching Math3195/5195M (Advanced) Commutative Rings and Algebraic Geometry and MAGIC074: Algebraic geometry in semester 2.
For previous teaching see here .
Research interests
commutative algebra, (noncommutative) algebraic geometry, representation theory, singularity theory, homological algebra, cluster algebras
Curriculum Vitae
An extensive CV is here .
Papers
 Cluster structures for the $A_{\infty}$ singularity (with J. August, M.W. Cheung, S. Gratz, and S. Schroll), arXiv:2205.15344[math.RT] , to appear in J. London Math. Soc. (2) , 2023.
 Categories for Grassmannian cluster algebras of infinite rank (with J. August, M.W. Cheung, S. Gratz, and S. Schroll), arXiv:2007.14224[math.RT] , to appear in IMRN , 2023.
 Classification of singularities of cluster algebras of finite type (with A. Benito, H. Mourtada, and B. Schober), Open access Journal version , Glasg. Math. J. , 65 (2023), no. 1, 170204. Also see arXiv:2106.10290[math.AG]
 McKay quivers and Lusztig algebras of some finite groups (with R.O. Buchweitz, C. Ingalls, and M. Lewis), arXiv:2009.06674[math.RT] , to appear in Alg. Represent. Theory 2022.
 The magic square of reflections and rotations (with R.O. Buchweitz and C. Ingalls), arXiv:1806.04600[math.GR] , to appear in Rocky Mountain J. Math. 2022.
 Canonical resolutions over Koszul algebras (with M. JuhnkeKubitzke, H. Lindo, C. Miller, R. R.G., and A. Seceleanu), arXiv:2011.12409[math.AC] , in Women in commutative algebra , 281301, Assoc. Women Math. Ser., 29, Springer, Cham.
 Friezes satisfying higher SL$_k$determinants (with K. Baur, S. Gratz, K. Serhiyenko, and G. Todorov), arXiv:1810.10562[math.RA], Algebra Number Theory, 15 (2021), no. 1, 2968.
 A McKay correspondence for reflection groups (with R.O. Buchweitz and C. Ingalls), arXiv:1709.04218[math.AG] , Duke Math. Journal , 169 (2020), no. 4, 599669.(Here is a talk about this work at BIRS from 2016, and here and here from CMO Oaxaca, 2019 and 2015. Also see the extended abstract in Oberwolfach Reports: PDF)
 Trace ideals, normalization chains, and endomorphism rings, Pure Appl. Math. Q. 16 (2021), no. 4, 10011025 . See arXiv:1901.04766[math.AC].
 Noncommutative resolutions of toric varieties (with G. Muller and K.E. Smith), Adv. Math. 351 (2019), 236274. See arXiv:1805.00492[math.AC] .
 ConwayCoxeter friezes and mutation: a survey (with K. Baur, S. Gratz, K. Serhiyenko and G. Todorov), in Advances from the Mathematical Sciences  Research from the 2017 Association for Women Mathematics Symposium, Springer 2018. See arXiv:1806.06441[math.RA] .
 Mutation of friezes (with K. Baur, S. Gratz, K. Serhiyenko and G. Todorov), Bull. Sci. Math. 142 (2018), 148. arXiv:1612.05374[math.RA] .
 Noncommutative resolutions of discriminants (with R.O. Buchweitz and C. Ingalls), In Representations of Algebras , volume 705 of Contemp. Math., pages 3752. Amer. Math. Soc., Providence, RI, 2018. arXiv:1702.00791[math.AG] .
 Computing global dimension of endomorphism rings via ladders (with B. Doherty and C. Ingalls), J. Algebra , 458 (2016), 307350. arXiv:1508.06287[math.RT]
 Chern classes of splayed intersections (with P. Aluffi), Canadian J. Math 67 (2015), 12011218. arXiv:1406.1182[math.AG]
 Noncommutative desingularizations and the global spectrum of commutative rings (with H. Dao and C. Ingalls), Alg. Represent. Theory 18 (2015), no. 3, 633664. Journal link or arXiv:1401.3000[math.AC]
 Characterizing normal crossing hypersurfaces, Math. Ann. 361 (2015), no. 34, 9951020. Journal link or arXiv:1201.6276[math.AG] or PDF
 Splayed divisors and their Chern classes (with P. Aluffi), J. London Math. Soc. (2) 88 (2013), 563579, arXiv:1207.4202[math.AG] or Journal link
 Measuring singularities with Frobenius: the basics (with A. Benito and K.E. Smith), in Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday Springer 2013, 5797, see PDF
 Towards transversality of singular varieties: splayed divisors, Publ. RIMS 49 (2013), 393412, arXiv:1201.2186[math.AG] or PDF
 Blowups in tame monomial ideals (with D.B. Westra), J. Pure and Applied Algebra 215 (2011),18051821. See arXiv:0905.4511[math.AG]
 Today's Menu: Geometry and Resolution of Singular Algebraic Surfaces (with H. Hauser), Bull. Amer. Math. Soc. 47 (2010),373417. See PDF
Preprints
Theses
 Normal crossings in local analytic geometry, PhD thesis, Universität Wien, 2011. (Advisor: V.Prof. Dr. Herwig Hauser) PDF (A5 booklet version)
 Torische Varietäten, Explosionen und das Newtonpolyeder, Diploma thesis, LeopoldFranzensUniversität Innsbruck, 2007. (Advisor: Ao. Univ.Prof. Dr. Herwig Hauser) PDF
Conference organization
Past:
 Resolutions in local algebra and singularity theory , February 511, 2023, at Mathematisches Forschungszentrum Oberwolfach, Germany. Organizers: Aldo Conca, Steven Dale Cutkosky, Eleonore Faber, Srikanth Iyengar.
 Representation theory and triangulated categories. Conference in honour of Henning Krause. September 2630, 2022, at Universität Bielefeld, Germany. Organizers: Dave Benson, Bill CrawleyBoevey, Eleonore Faber, Lutz Hille, Srikanth Iyengar, Janina Letz, Marc Stephan.
 Bridges between representation theory and algebraic geometry: Singularities, friezes, and cluster categories. , May 2427, 2022, at University of Leeds. Organizers: Karin Baur, Eleonore Faber, Matt Pressland.
 A conference in celebration of the 60th Birthday of Bill CrawleyBoevey. , September 610, 2021, online, originally planned to be at University of Manchester, UK. Organizers: Karin Baur, Eleonore Faber, Henning Krause, Mike Prest, Jan Trlifaj, Michael Wemyss, Dan Zacharia.
 Singularities in positive characteristic , July 1216, 2021, at CIRM (hybrid conference), Luminy, France. Organizers: Angelica Benito, Eleonore Faber, Bernd Schober, Bernard Teissier.
 RRAGE: Ragnar's Ramifications in Algebra and Geometry Emerging (A conference to celebrate the work of RagnarOlaf Buchweitz), July 812, 2019 at the Fields Institute, Toronto. Organizers: Eleonore Faber, Marco Gualtieri, Colin Ingalls.
 WINART2Women In Noncommutative Algebra and Representation Theory May 2024, 2019, at University of Leeds. Organizers: Karin Baur, Georgia Benkart, Eleonore Faber, Ellen Kirkman, Chelsea Walton.
 Interactions between Commutative Algebra, Representation Theory, and Algebraic Geometry: a conference in memoriam RagnarOlaf Buchweitz March 1923, 2019, at Universität Münster, Germany. Organizers: Eleonore Faber, Lutz Hille, Jörg Schürmann.
 Special session "Commutative algebra and algebraic geometry" at CSASC2018 September 1114, 2018, Bratislava, Slovakia. Organizers: Alberto Fernando Boix, Eleonore Faber.
 Workshop "Geometric algebra: bridges between commutative algebra, noncommutative geometry and representation theory" July 610, 2015 at the Fields Institute, Toronto. Organizers: Jason Bell, RagnarOlaf Buchweitz, Eleonore Faber, Colin Ingalls. Videos from the talks can be viewed here .
Other stuff
Free divisor gallery
ADE surface gallery
Snapshot from Oberwolfach (with R.O. Buchweitz): Swallowtail on the shore
Contact information

Email: E.M.Faber at leeds.ac.uk 
Mailing Address:
Eleonore Faber
School of Mathematics,
University of Leeds,
Leeds, LS2 9JT, UK
Room: Mathematics 8.05
Work Phone: +44 113 343 5185
