Chris Francisco
Papers
Minimal graded Betti numbers and stable ideals, Comm. Algebra 31 (2003), 4971-4987.
Almost complete intersections and the Lex-Plus-Powers Conjecture, J. Algebra 276 (2004), no. 2, 737-760.
Resolutions of small sets of fat points, J. Pure Appl. Algebra 203 (2005), 220-236.
New approaches to bounding the multiplicity of an ideal, J. Algebra 299 (2006), no. 1, 309-328.
On the componentwise linearity and the minimal free resolution of a tetrahedral curve (with J. Migliore and U. Nagel), J. Algebra 299 (2006), no. 2, 535-569.
Lex-plus-powers ideals (with B. Richert), in Syzygies and Hilbert functions, I. Peeva (ed.), Lect. Notes Pure Appl. Math. 254, Chapman & Hall/CRC, 2007, 113-144.
Multiplicity conjectures (with H. Srinivasan), in Syzygies and Hilbert functions, I. Peeva (ed.), Lect. Notes Pure Appl. Math. 254, Chapman & Hall/CRC, 2007, 145-178. [Correction]
Sequentially Cohen-Macaulay edge ideals (with A. Van Tuyl), Proc. Amer. Math. Soc. 135 (2007), no. 8, 2327-2337.
Some families of componentwise linear monomial ideals (with A. Van Tuyl), Nagoya Math. J. 187 (2007), 115-156.
Tetrahedral curves via graphs and Alexander duality, J. Pure Appl. Algebra 212 (2008), no. 2, 364-375.
Whiskers and sequentially Cohen-Macaulay graphs (with H. T. Hà), J. Combin. Theory Ser. A 115 (2008), no. 2, 304-316.
EdgeIdeals: a Macaulay 2 package for working with (hyper)graphs (with A. Hoefel and A. Van Tuyl), Journal of Software for Algebra and Geometry 1 (2009), 1-4.
Splittings of monomial ideals (with H. T. Hà and A. Van Tuyl), Proc. Amer. Math. Soc. 137 (2009), no. 10, 3271-3282.
Grassmannians and representations (with D. Edidin), J. Commut. Algebra 1 (2009), no. 3, 381-392.
A conjecture on critical graphs and connections to the persistence of associated primes (with H. T. Hà and A. Van Tuyl), Discrete Math. 310 (2010), no. 15-16, 2176-2182.
Associated primes of monomial ideals and odd holes in graphs (with H. T. Hà and A. Van Tuyl), J. Algebraic Combin. 32 (2010), no. 2, 287-301.
Colorings of hypergraphs, perfect graphs, and associated primes of powers of monomial ideals (with H. T. Hà and A. Van Tuyl), J. Algebra 331 (2011), no. 1, 224-242.
Borel generators (with J. Mermin and J. Schweig), J. Algebra 332 (2011), no. 1, 522-542.
Powers of square-free monomial ideals and combinatorics (with H. T. Hà and J. Mermin), in Commutative Algebra: Expository Papers Dedicated to David Eisenbud on the Occasion of His 65th Birthday, I. Peeva (ed.). Springer, 2013, 373-392.
Generalizing the Borel property (with J. Mermin and J. Schweig), J. London Math. Soc. (2) 87 (2013), 724-740.
A survey of Stanley-Reisner theory (with J. Mermin and J. Schweig). In Connections Between Algebra, Combinatorics, and Geometry, a Springer Proceedings in Mathematics & Statistics (PROMS) volume, S. Cooper and S. Sather-Wagstaff (eds.). Vol. 76, 2014, 209-234.
Catalan numbers, binary trees, and pointed pseudotriangulations (with J. Mermin and J. Schweig). European J. Combin. 45 (2015), 85-96.
Colorings of simplicial complexes and vertex decomposability (with J. Biermann, H. T. Hà, and A. Van Tuyl). J. Commut. Algebra 7 (2015), no. 3, 337-352.
LCM lattices supporting pure resolutions (with J. Mermin and J. Schweig). Proc. Amer. Math. Soc. 144 (2016), no. 6, 2315-2325.
Boij-Söderberg and Veronese decompositions (with J. Mermin and J. Schweig). J. Commut. Algebra 9 (2017), no. 3, 367-386.
The Rees algebra of a two-Borel ideal is Koszul (with M. DiPasquale, J. Mermin, J. Schweig, and G. Sosa). Proc. Amer. Math. Soc. 147 (2019), no. 2, 467-479.
Asymptotic resurgence via integral closures (with M. DiPasquale, J. Mermin, and J. Schweig). Trans. Amer. Math. Soc. 372 (2019), no. 9, 6655-6676.
Free and non-free multiplicities on the A_3 arrangement (with M. DiPasquale, J. Mermin, and J. Schweig). J. Algebra 544 (2020), 498-532.
Computing generalized Frobenius powers of monomial ideals (with M. Mastroeni, J. Mermin, and J. Schweig). Illinois J. Math. 69 (2025), no. 4, 583-612.