Book:
Preprints:
Publications:
 BrylinskiRadon transformation and generic projections. (with Y. Liu and B. Wang)
Proceedings of the American Mathematical Society (accepted);
arXiv:2307.00352.
 HirzebruchMilnor classes of hypersurfaces with nontrivial normal bundles and applications to higher du Bois and rational singularities. (with M. Saito and R. Yang)
 Cohomology of Zlocal systems on complex hyperplane arrangement complements. (with Y. Liu and B. Wang)
 Equivariant toric geometry and EulerMaclaurin formulae  an overview. (with S. Cappell, J. Schürmann and J. Shaneson)
Revue Roumaine de Mathématiques Pures et Appliquées
(accepted);
arXiv:2403.19715.
 Hodgetheoretic variants of the Hopf and Singer Conjectures. (with D. Arapura and B. Wang)
Contemporary Mathematics (accepted);
arXiv:2310.14131.
 On the topology of complex projective hypersurfaces
 Linear optimization on varieties and ChernMather classes. (with J. Rodriguez, B. Wang and L. Wu)
 Logarithmic cotangent bundles, ChernMather classes, and the HuhSturmfels Involution conjecture. (with J. Rodriguez, B. Wang and L. Wu)
 Euclidean distance degree and limit points in a Morsification. (with M. Tibăr)
 Mixed Hodge structures on Alexander modules. (with E. Elduque, C. Geske, M. Herradón Cueto and B. Wang)
 Applications of singularity theory in applied algebraic geometry and algebraic statistics. (with J. Rodriguez and B. Wang)
Handbook of Geometry and Topology of Singularities, vol. VII (accepted);
arXiv:2305.19842.
 Morse numbers of function germs with isolated singularities. (with M. Tibăr)
 On singular variants of the SingerHopf Conjecture.
 Alexander modules, Mellin transformation and variations of mixed Hodge structures. (with E. Elduque, M. Herradón Cueto and B. Wang)
 Nonabelian Mellin Transformations and Applications. (with Y. Liu and B. Wang)
 The vanishing cohomology of nonisolated hypersurface singularities.
(with L. Păunescu and M. Tibăr)
 Constructible sheaf complexes in complex geometry and Applications. (with J. Schürmann)
 A Morse theoretic approach to nonisolated singularities and applications to optimization. (with J. Rodriguez and B. Wang)
 Vanishing cohomology and Betti bounds for complex projective hypersurfaces.
(with L. Păunescu and M. Tibăr)
 Hodge theory on Alexander invariants  a survey. (with E. Elduque, C. Geske, M. Herradón Cueto and B. Wang)
 Aspherical manifolds, Mellin transformation and a question of BobadillaKollár. (with Y. Liu and B. Wang)
 Perverse sheaves on semiabelian varieties. (with Y. Liu and B. Wang)
 Euclidean distance degree of projective varieties. (with J. Rodriguez and B. Wang)
 Topology of subvarieties of complex semiabelian varieties. (with Y. Liu and B. Wang)
 Higher order degrees of affine plane curve complements. (with E. Elduque)
 Plethysm and cohomology representations of external and symmetric products.
(with J. Schürmann)
 Defect of Euclidean distance degree. (with J. Rodriguez and B. Wang)
 Euclidean distance degree of the multiview variety. (with J. Rodriguez and B. Wang)
 Spectral HirzebruchMilnor classes of singular hypersurfaces. (with M. Saito and J. Schürmann)
 ThomSebastiani theorems for filtered Dmodules and for multiplier ideals. (with M. Saito and J. Schürmann)
 Perverse sheaves on semiabelian varieties  a survey of properties and applications
(with Y. Liu and B. Wang)
 Notes on vanishing cycles and applications
 Topological methods in algebraic geometry and algebraic statistics
Revue Roumaine de Mathématiques Pures et Appliquées 65 (2020), no. 3, 311325;
journal link
 Homological congruence formulae for characteristic classes of singular varieties. (with
S. Yokura)
 Generic vanishing for semiabelian varieties and integral Alexander modules. (with Y. Liu and B. Wang)
 Mellin transformation, propagation, and abelian duality spaces. (with Y. Liu and B. Wang)
 On the signed Euler characteristic property for subvarieties of abelian varieties. (with E. Elduque and C. Geske)
 Motivic zeta functions and infinite cyclic covers.
(with M. Gonzalez Villa and A. Libgober)
 Twisted Alexander invariants of complex hypersurface complements.
(with K. Wong)
 Equivariant characteristic classes of external and symmetric products of
varieties. (with J. Schürmann)
 Characteristic classes of mixed Hodge modules and applications. (with J. Schürmann)
 Characteristic classes of symmetric products of complex quasiprojective varieties. (with S. Cappell, J. Schürmann, J. Shaneson and S. Yokura)
 Spectral pairs, Alexander modules, and boundary manifolds. (with Y. Liu)
 Twisted Novikov homology of complex hypersurface complements.
(with S. Friedl)
 Characteristic varieties of hypersurface complements. (with Y. Liu)
 Motivic infinite cyclic covers. (with M. Gonzalez Villa and A. Libgober)
 HirzebruchMilnor classes and Steenbrink spectra of certain projective hypersurfaces. (with M. Saito and J. Schürmann)
 Intersection spaces, perverse sheaves and string theory.
 Reidemeister torsion, peripheral complex, and Alexander polynomials of hypersurface complements. (with Y. Liu)
 Characteristic classes of singular toric varieties. (with J. Schürmann)
 Intersection spaces, perverse sheaves and type IIB string theory. (with M. Banagl and N. Budur)
 L^{2}Betti numbers of hypersurface complements.
 Characteristic classes of singular toric varieties, research announcement (with J. Schürmann)
 HirzebruchMilnor classes of complete intersections. (with M. Saito and J. Schürmann)
 Characteristic classes of Hilbert schemes of points via symmetric products. (with S. Cappell, T. Ohmoto, J. Schürmann and S. Yokura)
 Characteristic numbers, genera, and resolutions.
in Advances in Mathematics: Invited Contributions to the Seventh Congress of Romanian Mathematicians,
The Publishing House of the Romanian Academy, 2013, pp. 207225.
 Intersection Spaces and Hypersurface Singularities. (with M. Banagl)
 Deformation of Singularities and the Homology of Intersection Spaces. (with M. Banagl)
 Equivariant characteristic classes of complex algebraic varieties. (with S. Cappell, J. Schürmann and J. Shaneson)
 Twisted genera of symmetric products. (with J. Schürmann)
 Symmetric products of mixed Hodge modules. (with M. Saito and J. Schürmann)
 Hirzebruch invariants of symmetric products. (with J. Schürmann)
 Hodge polynomials of singular hypersurfaces. (with A. Libgober)
Michigan Mathematical Journal 60 (2011), no. 3, 661673.
 On Milnor classes of complex hypersurfaces.
 Characteristic classes of complex hypersurfaces. (with S. Cappell, J. Schürmann and J. Shaneson)
 Equivariant genera of complex algebraic varieties. (with S. Cappell and J. Shaneson)
 L^{2}Betti numbers of plane algebraic curves. (with S. Friedl and C. Leidy)
Michigan Mathematical Journal 58 (2009), no. 2, 411421.
 Hodge genera of algebraic varieties, II. (with S. Cappell, A. Libgober and J. Shaneson)
 Hodgetheoretic AtiyahMeyer formulae and the stratified multiplicative property. (with J. Schürmann)
 Intersection cohomology invariants of complex algebraic varieties.
(with S. Cappell and J. Shaneson)
 Hodge genera and characteristic classes of complex algebraic
varieties. (with S. Cappell, A. Libgober and J. Shaneson)
Electronic Research Announcements in Mathematical Sciences 15 (2008), 17.
 Obstructions on fundamental groups of plane curve complements. (with C. Leidy)
 Hodge genera of algebraic varieties, I. (with S. Cappell and J. Shaneson)
Communications on Pure and Applied Mathematics 61 (2008), no. 3, 422449.
 Euler characteristics of algebraic varieties. (with S. Cappell and J. Shaneson)
Communications on Pure and Applied Mathematics 61 (2008), no. 3, 409421.
 On the Alexander invariants of hypersurface complements.
in Singularity Theory,
Proceedings of the 2005 Marseille Singularity School and Conference (Denis Cheniot et al, ed.),
World Scientific, 2007, pp. 725744.
 Multivariable Alexander invariants of hypersurface complements. (with A. Dimca)
Transactions of the American Mathematical Society 359 (2007), no. 7, 35053528.
 Higherorder Alexander invariants of plane algebraic curves, (with C. Leidy)
International Mathematics Research Notices, Volume 2006 (2006), Article ID 12976, 23 pages.
 Intersection homology and Alexander modules of hypersurface complements.
Commentarii Mathematici Helvetici 81 (2006), no. 1, 123155.
 A decomposition theorem for the Peripheral Complex associated with
hypersurfaces.
International Mathematics Research Notices 43 (2005), 26272656.
Books Edited:
 Topology of Stratified Spaces.
(with G. Friedman, E. Hunsiker and A. Libgober)
Mathematical Sciences Research Institute Publications 58, Cambridge University
Press, New York, 2011; ISBN: 9780521191678.
Class notes, Surveys:
Some talk slides:
Video talks, Online lectures:
 Lefschetz properties in the constructible context,
Workshop on Lefschetz Properties in Algebra, Geometry, Topology and Combinatorics, The Fields Institute, Toronto, May 1519, 2023.
 Topology of complex projective hypersurfaces and of their complements, at the 20212022 CIMPA Research School "Singularities and Applications":
 in person followup event in Sao Carlos, Brazil, July 1122, 2022. (lectures are available on the YouTube channel of the Singularities Group at ICMCSao Carlos.)
 Characteristic classes of stratified spaces (lecture I,
lecture II),
at the "Topology, Stratified Spaces and Particle Physics Summer School", Fields Institute, Toronto, Canada, August 2016.
 Genera of complex varieties and singularities of proper maps,
MSRI Workshop on "Recent Developments in Arrangements
and Configuration Spaces", August 2006.

Intersection Homology and Alexander Modules of Hypersurface Complements, MSRI Workshop on "Topology of Arrangements and Applications", October 2004.