Elena Maria GUARDO

Professor of Geometry [MAT/03]
Office: Blocco I, DMI, studio 330
Email: guardo@dmi.unict.it
Phone: 095 7383068
Fax: 095330094
Web Site: www.dmi.unict.it/guardo
Office Hours: Thursday from 09:00 to 10:00 Concordare via email se si svolgerà via Teams o presenza | Friday from 09:00 to 11:00 Concordare via email se esso si svolgerà via Team o presenza

Elena Guardo is  full professor in Geometry SSD Mat/03 since March 2022.

In March 2017 she got the national scientific habilitation for full professor in Geometry (SSD Mat/03).

From November 1st, 2016 to january 28, 2019  member of the Joint Committee of the Department of Mathematics and Computer Science (2016-2020)

She teachs at the Courses in Engineering and in Mathematics.

Her research focus on Algebraic Geometry, Commutative Algebra and Combinatorics.


  1. Cooper S.M., Guardo E. Fat points, partial intersections and Hamming distance. JOURNAL OF ALGEBRA AND ITS APPLICATIONS,  (2019) In stampa, DOI: 10.1142/S0219498820500711
  2. Guardo E., Kreuzer M., Tran L., Le Ngoc L. Kaehler Differentials for Fat Point Schemes $P^1 XP^1$. To appear in J. Commut. Algebra (2019) https://projecteuclid.org/euclid.jca/1545015628

  3. Carlini E., Catalisano M.V., Guardo E., Van Tuyl A. Hadamard star configurations To appear Rocky Mount. J. Math (2019) https://projecteuclid.org/euclid.rmjm/1552186827

  4. Favacchio G., Guardo E., On the Betti numbers of three fat points in ℙ1 × ℙ1 , Journal of the Korean Mathematical Society, 56 (2019), No. 3, pp. 751–766, doi.org/10.4134/JKMS.j180385 
  5. Favacchio G., Guardo E., Picone B. Special arrangements of lines: Codimension 2 ACM varieties in ℙ1 × ℙ1 × ℙ1. JOURNAL OF ALGEBRA AND ITS APPLICATIONS, ISSN: 0219-4988, Vol 18, Issue 4, 1 April 2019, Article number 1950073, doi: 10.1142/S0219498819500737

  6. Ballico, E, Bernardi, A, Chiantini, L, Guardo, E (2018). Bounds on tensor rank. ANNALI DI MATEMATICA PURA ED APPLICATA, Vol 197, Issue 6, pp 1761—1785, doi: 10.1007/s10231-018-0748-6 December 2018, ISSN: 0373-3114, doi: 10.1007/s10231-018-0748-6
  7. G. Favacchio, E. Guardo, J. Migliore (2018), On the arithmetically Cohen-Macaulay property for sets of points in multiprojective spaces. Proceedings of the American Mathematical Society. (2018), vol. 146, p. 2811-2825, ISSN: 0002-9939, doi: 10.1090/proc/13981
  8. Guardo E., Tran L., Le Ngoc L. A Presentation of the Kähler Differential Module for a Fat Point Scheme in ℙn1 × … × ℙnk  ITM Web Conf. Vol 20, 2018 International Conference on Mathematics (ICM 2018) Recent Advances in Algebra, Numerical Analysis, Applied Analysis and Statistics, doi.org/10.1051/itmconf/20182001007

  9. Bujtàs Cs, Gionfriddo M, Guardo E, Milazzo L, Tuza S, Voloshin V (2017). Extending bicolorings of Steiner triple system of order 2^h-1 – Taiw. J. of Math. Volume 21, Number 6 (December, 2017), 1265-1276.
  10. G. Favacchio, E. Guardo (2017). Minimal free resolution of fat almost complete intersections in P1XP1. CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES vol. 69(2017), no. 6, 1274-1291. http://dx.doi.org/10.4153/CJM-2016-040-4
  11. Bocci C, Cooper S, Guardo E, Harbourne B., Janssen M, Nagel U, Seceleanu A, Van Tuyl A, Vu T (2016). The Waldschmidt constant for squarefree monomial ideals. JOURNAL OF ALGEBRAIC COMBINATORICS, vol. 44, Issue 4,  ISSN: 0925-9899, doi: 10.1007/s10801-016-0693-7
  12. Guardo E, Van Tuyl A (2015). Arithmetically Cohen-Macaulay Sets of Points in P^1 x P^1. SPRINGERBRIEFS IN MATHEMATICS, p. 1-134,MONOGRAFIA  Springer, ISBN: 978-3-319-24164-7, ISSN: 2191-8198, doi: 10.1007/978-3-319-24166-1
  13. C. Bocci, E. Carlini, E. Guardo, B. Harbourne (2015). Mini-Workshop: Ideals of Linear Subspaces, Their Symbolic Powers and Waring Problems. OBERWOLFACH REPORTS, vol. 12, p. 489-532, ISSN: 1660-8933, doi: 10.4171/OWR/2015/9
  14. E. Guardo, A. Van Tuyl – “On the Hilbert Function of sets of points in P1XP1XP1 Math. Proc. Cambridge Philos. Soc Vol. 159 , Issue 1,( July 2015) pp 115-123, DOI: http://dx.doi.org/10.1017/S0305004115000249, Published online: 03 May 2015
  15. E. Carlini, E. Guardo, A. Van Tuyl - “Star configurations on generic hypersurfaces.” Journal of Algebra 407 Pubblicato on line il 25 Marzo 2014, pp 1–20, http://dx.doi.org/10.1016/j.jalgebra.2014.02.013
  16. M. Gionfriddo, E. Guardo, L. Milazzo, V. Voloshin – “Feasible sets of small bicolorable STSs.”  Australasian  Journal  of  Combinatorics, Volume 59 (1) . Pubblicato on line Marzo 2014, Pages 107–119, (2014)
  17. M. Gionfriddo, E. Guardo, L. Milazzo, – “Extending bicolorings for Steiner triple systems.” Appl. Anal. Discrete Math. 7 (2013), 225–234. doi:10.2298/AADM130827019G
  18. E. Guardo, B. Harbourne, A. Van Tuyl, -“Asymptotic resurgences for ideals of positive dimensional subschemes of projective space”. Advances in Mathematics, Vol 246 (2013) 114–127, http://dx.doi.org/10.1016/j.aim.2013.05.027.
  19. E. Guardo, B. Harbourne, A. Van Tuyl, - “Fat lines in P3: regular versus symbolic powers” Pubblicato on line 17 Giugno 2013 , J. Algebra, Vol.390, 15 September 2013, pp 221—230, http://dx.doi.org/10.1016/j.jalgebra.2013.05.028.
  20. E. Guardo, B. Harbourne, A. Van Tuyl – “Symbolic powers versus regular powers of ideals of general points in P1 x P1”,  Canad. J. Math. Vol. 65 (4), 2013 pp. 823–842 (pubblicato on line 13 Novembre 2012) http://dx.doi.org/10.4153/CJM-2012-045-3.
  21. E. Guardo, A. Van Tuyl – “Classifying ACM sets of points in P1x P1 via separators”. Archiv Der Mathematik, vol 99, Issue 1, pp 33-36, 2012. DOI: 10.1007/s00013-012-0404-0.
  22. E. Guardo, A. Van Tuyl – “Separators of Arithmetically Cohen-Macaulay fat points in P1xP1”. J. Of Commutative Algebra Vol. 4, N 2, Summer 2012, pp 255-268. DOI:10.1216/JCA-2012-4-2-255
  23. E. Guardo, A. Van Tuyl – “ Separators of fat points in PnxPm”.  J. Pure Appl. Algebra, 215, 1990-1998 (2011). Pubblicato on line 4 December, 2010, doi:10.1016/j.jpaa.2010.11.009
  24. Guardo, L. Marino, A. Van Tuyl – “Separators of fat points in Pn”. – J. Algebra, Pubblicato on line 17 Luglio 2010, http://www.sciencedirect.com/scidirimg/clear.gifVolume 324, Issue 7, 1 October 2010, Pages 1492-1512 doi:10.1016/j.jalgebra.2010.07.008.
  25. E. Guardo, A.Van Tuyl – “Separators of points in multiprojective space”.  Manuscripta Math. 126 (2008), no. 1.99-113 DOI: 10.1007/s00229-008-0165-z
  26. E. Guardo, A. Van Tuyl: -- “ACM sets of points in Multiprojective Spaces”.  Collect. Math. 59 (2008), no. 2, 191–213. (2008) DOI: 10.1007/BF03191367
  27. E. Guardo, B. Harbourne – “Configuration types and cubic surfaces”.  J. Algebra 320 (2008) 3519—3533, doi: 10.1016/j.jalgebra.2008.05.032.
  28. E. Guardo, B. Harbourne – “Resolution of ideals of six points in P2”.  J. Algebra 318 (2007), no. 2, 619—640, doi: 10.1016/j.jalgebra.2007.09.018.
  29. E. Guardo, A. Van Tuyl – “The minimal resolution of double points in P1xP1 with ACM support”.  J. Pure Appl. Algebra 211 (2007), no. 3, 784—800, doi: 10.1016/j.jpaa.2007.04.005.
  30. E. Guardo, A. Van Tuyl – “Some results on fat points whose support is a complete intersection minus a point” - "Projective varieties with unexpected properties"- Siena 2004 A Volume in Memory of Giuseppe Veronese. (de Gruyter); pp 257--266 (2005), doi: 10.1515/9783110199703.
  31. E. Guardo, A. Van Tuyl – “Powers of complete intersections and fat points in special position”.  Illinois J. Math. 49 (2005), no. 1, 265--279 (electronic).
  32. E. Guardo – “A Survey on Fat Points on a smooth quadric - Algebraic structures and their representations”, 61-87, Contemp. Math., 376, Amer. Math. Soc., Providence, RI, 2005, doi: http://dx.doi.org/10.1090/conm/376.
  33. E. Guardo, A. Van Tuyl – “Fat points in P1xP1 and their Hilbert functions”.  Canad. J. Math. 56 (2004), no. 4, 716—741, doi: 10.4153/CJM-2004-033-0
  34. E. Guardo – “Fat Points Schemes on a smooth quadric”.  J. Pure Appl. Algebra 162 (2001), no. 2-3, 183—208, doi: 10.1016/S0022-4049(00)00123-7.
  35. M. Buckles, E.Guardo, A. Van Tuyl – “Fat Points on a generic almost complete intersection”. Le Matematiche (Catania) 55 (2000), no. 1, 191-202. Dipartimento di Matematica e Informatica dell’Università di Catania. Entrato in redazione il 1 aprile 2001
  36. M. Buckles, E. Guardo, A. Van Tuyl – “Fat Points a grid in P2”. Le Matematiche (Catania) 55 (2000), no. 1, 169-189 Dipartimento di Matematica e Informatica dell’Università di Catania Entrato in redazione il 1 aprile 2001.


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