Homepage of Filip Cools

Accepted and published papers

• W. Castryck, F. Cools, J. Demeyer and A. Lemmens, Canonical syzygies of smooth curves in toric surfaces, J. Pure Appl. Algebra 224 (2020), Issue 2, 507-527 (arXiv:1609.02360)
• F. Cools and A. Lemmens, Minimal polygons with fixed lattice width, Annals of Combinatorics 23 (2019), Issue 2, 285–293 (arXiv:1702.01131)
• F. Cools, M. D'Adderio, D. Jensen and M. Panizzut, Brill-Noether theory of curves on P¹×P¹: tropical and classical approach, Algebraic Combinatorics 2 (2019), no. 3, 323-341 (arXiv:1709.07254)
• W. Castryck, F. Cools, J. Demeyer and A. Lemmens, Computing graded Betti tables of toric surfaces, Trans. Amer. Math. Soc. 372 (2019), 6869-6903 (arXiv:1606.08181)
• F. Cools and J. Draisma, On metric graphs with prescribed gonality, J. Comb. Theory Ser. A , Vol. 156 (2018), 1-21 (arXiv:1602.05542)
• F. Cools and M. Panizzut, The gonality sequence of complete graphs, Electron. J. Comb. 24 (2017), Issue 4 (arXiv:1605.03749)
• W. Castryck and F. Cools, Linear pencils encoded in the Newton polygon, Int. Math. Res. Not. 10 (2017), 2998–3049 (arXiv:1402.4651)
• W. Castryck and F. Cools, Intrinsicness of the Newton polygon for smooth curves on P¹×P¹, Rev. Mat. Complut. 30 (2017), 233–258 (arXiv:1304.4997)
• W. Castryck and F. Cools, A combinatorial interpretation for Schreyer's tetragonal invariants, Documenta Math. 20 (2015), 927-942 (arXiv:1410.1692)
• W. Castryck and F. Cools, The lattice size of a lattice polygon, J. Comb. Theory Ser. A, Vol. 136 (2015), 64-95 (arXiv:1402.4652)
• W. Castryck and F. Cools, A minimal set of generators for the canonical ideal of a non-degenerate curve, J. Aust. Math. Soc. Society 98 (2015), 311-323 (arXiv:1410.1698)
• F. Cools and M. Coppens, Linear pencils on graphs and on real curves, Geom. Dedic. 169 (2014), 49-56 (arXiv:1006.1770)
• F. Cools, Linear pencils of tropical plane curves, Discrete Comput. Geom. 48 (2012), 453-466 (arXiv:1105.1025)
• W. Castryck and F. Cools, Newton polygons and curve gonalities, J. Algebr. Comb. 35 (2012), 345-366 (arXiv:1106.3762)
• W. Castryck and F. Cools, Erratum to : Newton polygons and curve gonalities, J. Algebr. Comb. 35 (2012), 367-372 (arXiv:1106.3762)
• F. Cools, J. Draisma, S. Payne and E. Robeva, A tropical proof of the Brill-Noether Theorem, Adv. Math. 230 (2012), 759-776 (arXiv:1001.2774)
• F. Cools and M. Coppens, Singular hypersurfaces possessing infinitely many star points, P. Am. Math. Soc. 139 (2011), 3413-3422 (arXiv:0909.1727)
• L. Chiantini and F. Cools, Classification of (1,2)-Grassmann secant defective threefolds, Forum Math. 23 (2011), 207-222
• F. Cools and M. Coppens, Star points on smooth hypersurfaces, J. Algebra 323 (2010), 261–286 (arXiv:0903.2005)
• F. Cools, On the relation between weighted trees and tropical Grassmannians, J. Symb. Comput. 44 (2009), 1079-1086 (arXiv:0903.2010)
• C. Bocci and F. Cools, A tropical interpretation of m-dissimilarity maps, Appl. Math. Comput. 212 (2009), 349-356 (arXiv:0803.2184)
• F. Cools, On the singular locus of Grassmann secant varieties, B. Belg. Math. Soc. Simon Stevin 16 (2009), 799-803 (link)
• F. Cools and M. Coppens, Plane curves with 3 or 4 total inflection points, J. Lond. Math. Soc. 77 (2008), 149-163 (link)
• C. Ciliberto and F. Cools, On Grassmann secant extremal varieties, Adv. Geom. 8 (2008), 377–386
• F. Cools and M. Coppens, Some general results on plane curves with total inflection points, Arch. Math. 89 (2007), 73-80
• F. Cools, On high G(k-1,k)-defective varieties, Commun. Algebra 35 (2007), 2600-2610
• F. Cools, On G(k-1,k)-defectivity of smooth surfaces and threefolds, J. Pure Appl. Algebra 203 (2005), 204-219

PhD thesis

• Title: Grassmann secant varieties and plane curves with total inflection points, under supervision of Marc Coppens and Willem Veys, defended on May 16th 2007