Publications of Eleonore Faber


  1. Matrix Factorizations of the discriminant of $S_n$ (with C. Ingalls, S. May, M. Talarico), J. Symbolic Comput. , (2024), 125, Paper No. 102310, 27pp arXiv:2209.03375[math.AC]
  2. On stacky surfaces and noncommutative surfaces (with C. Ingalls, S. Okawa, M. Satriano), to appear in TAMS . arXiv:2206.13359[math.AG] .
  3. Categories for Grassmannian cluster algebras of infinite rank (with J. August, M.-W. Cheung, S. Gratz, and S. Schroll), IMRN, (2024), no. 2, 1166-1210. arXiv:2007.14224[math.RT]
  4. Cluster structures for the $A_{\infty}$ singularity (with J. August, M.-W. Cheung, S. Gratz, and S. Schroll), J. London Math. Soc. (2), (2023), no. 6, 2121-2149. arXiv:2205.15344[math.RT]
  5. 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, 170-204. Also see arXiv:2106.10290[math.AG]
  6. McKay quivers and Lusztig algebras of some finite groups (with R.-O. Buchweitz, C. Ingalls, and M. Lewis), Alg. Represent. Theory 26 (2023), no. 2, 433-469. arXiv:2009.06674[math.RT]
  7. The magic square of reflections and rotations (with R.-O. Buchweitz and C. Ingalls), arXiv:1806.04600[math.GR] , Rocky Mountain J. Math. 53 (2023), no. 6, 1721-1747.
  8. Canonical resolutions over Koszul algebras (with M. Juhnke-Kubitzke, H. Lindo, C. Miller, R. R.G., and A. Seceleanu), arXiv:2011.12409[math.AC] , in Women in commutative algebra , 281-301, Assoc. Women Math. Ser., 29, Springer, Cham.
  9. 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, 29-68.
  10. 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, 599-669.(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)
  11. Trace ideals, normalization chains, and endomorphism rings, Pure Appl. Math. Q. 16 (2021), no. 4, 1001-1025 . See arXiv:1901.04766[math.AC].
  12. Non-commutative resolutions of toric varieties (with G. Muller and K.E. Smith), Adv. Math. 351 (2019), 236--274. See arXiv:1805.00492[math.AC] .
  13. Conway--Coxeter 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] .
  14. Mutation of friezes (with K. Baur, S. Gratz, K. Serhiyenko and G. Todorov), Bull. Sci. Math. 142 (2018), 1--48. arXiv:1612.05374[math.RA] .
  15. Noncommutative resolutions of discriminants (with R.-O. Buchweitz and C. Ingalls), In Representations of Algebras , volume 705 of Contemp. Math., pages 37-52. Amer. Math. Soc., Providence, RI, 2018. arXiv:1702.00791[math.AG] .
  16. Computing global dimension of endomorphism rings via ladders (with B. Doherty and C. Ingalls), J. Algebra , 458 (2016), 307-350. arXiv:1508.06287[math.RT]
  17. Chern classes of splayed intersections (with P. Aluffi), Canadian J. Math 67 (2015), 1201--1218. arXiv:1406.1182[math.AG]
  18. Noncommutative desingularizations and the global spectrum of commutative rings (with H. Dao and C. Ingalls), Alg. Represent. Theory 18 (2015), no. 3, 633--664. Journal link or arXiv:1401.3000[math.AC]
  19. Characterizing normal crossing hypersurfaces, Math. Ann. 361 (2015), no. 3-4, 995--1020. Journal link or arXiv:1201.6276[math.AG] or PDF
  20. Splayed divisors and their Chern classes (with P. Aluffi), J. London Math. Soc. (2) 88 (2013), 563--579, arXiv:1207.4202[math.AG] or Journal link
  21. 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, 57--97, see PDF
  22. Towards transversality of singular varieties: splayed divisors, Publ. RIMS 49 (2013), 393--412, arXiv:1201.2186[math.AG] or PDF
  23. Blowups in tame monomial ideals (with D.B. Westra), J. Pure and Applied Algebra 215 (2011),1805--1821. See arXiv:0905.4511[math.AG]
  24. Today's Menu: Geometry and Resolution of Singular Algebraic Surfaces (with H. Hauser), Bull. Amer. Math. Soc. 47 (2010),373--417. See PDF

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