- Intersection Homology and Perverse Sheaves, with Applications to Singularities.
- draft (comments and suggestions are very welcome).

- Higher order degrees of affine plane curve complements. (with E. Elduque)
**arXiv:1808.03244.** - Perverse sheaves on semi-abelian varieties. (with Y. Liu and B. Wang)
**arXiv:1804.05014.** - Homological congruence formulae for characteristic classes of singular varieties. (with
S. Yokura)
**arXiv:1802.00139.** - Generic vanishing for semi-abelian varieties and integral Alexander modules. (with Y. Liu and B. Wang)
**arXiv:1707.09806.** - Topology of subvarieties of complex semi-abelian varieties. (with Y. Liu and B. Wang)
**arXiv:1706.07491.** - Plethysm and cohomology representations of external and symmetric products.
(with J. Schürmann)
**arXiv:1602.06546.**

- On the signed Euler characteristic property for subvarieties of abelian varieties. (with E. Elduque and C. Geske)
**Journal of Singularities**17 (2018), 368-387; DOI: 10.5427/jsing.2018.17p - Spectral Hirzebruch-Milnor classes of singular hypersurfaces. (with M. Saito and J. Schürmann)
**Math. Ann.**(published online); DOI: 10.1007/s00208-018-1750-4 *Mellin transformation, propagation, and abelian duality spaces. (with Y. Liu and B. Wang)***Adv. Math**335 (2018), 231-260; DOI: 10.1016/j.aim.2018.07.012.*Thom-Sebastiani theorems for filtered D-modules and for multiplier ideals. (with M. Saito and J. Schürmann)***Int. Math. Res. Not.**(published online); DOI: 10.1093/imrn/rny032.*Motivic zeta functions and infinite cyclic covers. (with M. Gonzalez Villa and A. Libgober)**in***Local and Global Methods in Algebraic Geometry**,**Contemp. Math.**712 (2018), pp. 117-141.*Twisted Alexander invariants of complex hypersurface complements. (with K. Wong)***Proc. Roy. Soc. Edinburgh Sect. A**148 (2018), no. 5, 1049-1073; DOI: 10.1017/S0308210518000094*Characteristic classes of mixed Hodge modules and applications. (with J. Schürmann)**in***Schubert Varieties, Equivariant Cohomology and Characteristic Classes (Impanga 15)**, EMS Series of Congress Reports 2017, 159-202, European Mathematical Society Publishing House; DOI: 10.4171/182-1/8*Equivariant characteristic classes of external and symmetric products of varieties. (with J. Schürmann)***Geometry & Topology**22 (2018), no. 1, 471-515; DOI: 10.2140/gt.2018.22.471.*Characteristic classes of symmetric products of complex quasi-projective varieties. (with S. Cappell, J. Schürmann, J. Shaneson and S. Yokura)***J. Reine Angew. Math.**728 (2017), 35-63; DOI: 10.1515/crelle-2014-0114.*Spectral pairs, Alexander modules, and boundary manifolds. (with Y. Liu)***Selecta Math.**23 (2017), no. 3, 2261-2290; DOI: 10.1007/s00029-017-0333-7.*Twisted Novikov homology of complex hypersurface complements. (with S. Friedl)***Math. Nachr.**290 (2017), no. 4, 604-612; DOI: 10.1002/mana.201600242.*Characteristic varieties of hypersurface complements. (with Y. Liu)***Adv. Math.**306 (2017), 451-493; DOI: 10.1016/j.aim.2016.10.031*Motivic infinite cyclic covers. (with M. Gonzalez Villa and A. Libgober)***Adv. Math.**298 (2016), 413-447; DOI: 10.1016/j.aim.2016.04.019*Hirzebruch-Milnor classes and Steenbrink spectra of certain projective hypersurfaces. (with M. Saito and J. Schürmann)**in***Arbeitstagung Bonn 2013**, Progress in Mathematics 319, 265-287, Springer International Publishing 2016.*Intersection spaces, perverse sheaves and string theory.***Journal of Singularities**15 (2016), 118-125; DOI: 10.5427/jsing.2016.15f- Reidemeister torsion, peripheral complex, and Alexander polynomials of hypersurface complements. (with Y. Liu)
**Algebr. Geom. Topol.**15 (2015), no. 5, 2757-2787; DOI: 10.2140/agt.2015.15.2757 - Characteristic classes of singular toric varieties. (with J. Schürmann)
**Comm. Pure Appl. Math.**68 (2015), no. 12, 2177-2236; DOI: 10.1002/cpa.21553. - Intersection spaces, perverse sheaves and type IIB string theory. (with M. Banagl and N. Budur)
**Adv. Theor. Math. Phys.**Vol. 18 (2014), No. 2, 363-399; DOI: http://dx.doi.org/10.4310/ATMP.2014.v18.n2.a3 - L
^{2}-Betti numbers of hypersurface complements.**Int. Math. Res. Not.**Vol. 2014, No. 17, pp. 4665-4678; doi: 10.1093/imrn/rnt093 - Characteristic classes of singular toric varieties,
*research announcement*(with J. Schürmann)**Electron. Res. Announc. Math. Sci.**20 (2013), 109-120; DOI: 10.3934/era.2013.20.109 - Hirzebruch-Milnor classes of complete intersections. (with M. Saito and J. Schürmann)
**Adv. Math.**241 (2013), 220-245; DOI: 10.1016/j.aim.2013.04.001 - Characteristic classes of Hilbert schemes of points via symmetric products. (with S. Cappell, T. Ohmoto, J. Schürmann and S. Yokura)
**Geometry & Topology**17 (2013), no. 2, 1165-1198; DOI: 10.2140/gt.2013.17.1165 - 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. 207-225. - Intersection Spaces and Hypersurface Singularities. (with M. Banagl)
**Journal of Singularities**5 (2012), 48-56; DOI: 10.5427/jsing.2012.5d - Deformation of Singularities and the Homology of Intersection Spaces. (with M. Banagl)
**Journal of Topology and Analysis**4 (2012), no. 4, 413-448; DOI: 10.1142/S1793525312500185 - Equivariant characteristic classes of complex algebraic varieties. (with S. Cappell, J. Schürmann and J. Shaneson)
**Comm. Pure Appl. Math.**65 (2012), no. 12, 1722-1769; DOI 10.1002/cpa.21427. - Twisted genera of symmetric products. (with J. Schürmann)
**Selecta Math. (N.S.)**18 (2012), no. 1, 283-317; DOI 10.1007/s00029-011-0072-0. - Symmetric products of mixed Hodge modules. (with M. Saito and J. Schürmann)
**J. Math. Pures Appl.**96 (2011), no. 5, 462-483; doi:10.1016/j.matpur.2011.04.003. - Hirzebruch invariants of symmetric products. (with J. Schürmann)
*in***Topology of Algebraic Varieties and Singularities**,**Contemp. Math.**538 (2011), pp. 163-177. - Hodge polynomials of singular hypersurfaces. (with A. Libgober)
**Michigan Math. J.**60 (2011), no. 3, 661-673. - On Milnor classes of complex hypersurfaces.
*in***Topology of Stratified Spaces**, MSRI Publications 58, Cambridge University Press, New York, 2011, pp. 161-175. - Characteristic classes of complex hypersurfaces. (with S. Cappell, J. Schürmann and J. Shaneson)
**Adv. Math.**225 (2010), no. 5, 2616-2647; doi:10.1016/j.aim.2010.05.007 - Equivariant genera of complex algebraic varieties. (with S. Cappell and J. Shaneson)
**Int. Math. Res. Not.**Vol. 2009, No. 11, pp. 2013-2037; doi: 10.1093/imrn/rnp009 - L
^{2}-Betti numbers of plane algebraic curves. (with S. Friedl and C. Leidy)**Michigan Math. J.**58 (2009), no. 2, 411-421. - Hodge genera of algebraic varieties, II. (with S. Cappell, A. Libgober and J. Shaneson)
**Math. Ann.**345 (2009), no. 4, 925-972; DOI 10.1007/s00208-009-0389-6. - Hodge-theoretic Atiyah-Meyer formulae and the stratified multiplicative property. (with J. Schürmann)
*in***Singularities I: Algebraic and Analytic Aspects**,**Contemp. Math.**474 (2008), pp. 145-167. - Intersection cohomology invariants of complex algebraic varieties.
(with S. Cappell and J. Shaneson)
*in***Singularities I: Algebraic and Analytic Aspects**,**Contemp. Math.**474 (2008), pp. 15-25. - Hodge genera and characteristic classes of complex algebraic
varieties. (with S. Cappell, A. Libgober and J. Shaneson)
**Electron. Res. Announc. Math. Sci.**15 (2008), 1-7. - Obstructions on fundamental groups of plane curve complements. (with C. Leidy)
*in***Real and Complex Singularities**,**Contemp. Math.**459 (2008), pp. 117-130. - Hodge genera of algebraic varieties, I. (with S. Cappell and J. Shaneson)
**Comm. Pure Appl. Math.**61 (2008), no. 3, 422-449. - Euler characteristics of algebraic varieties. (with S. Cappell and J. Shaneson)
**Comm. Pure Appl. Math.**61 (2008), no. 3, 409-421. - 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. 725-744. - Multivariable Alexander invariants of hypersurface complements. (with A. Dimca)
**Trans. Amer. Math. Soc.**359 (2007), no. 7, 3505-3528. - Higher-order Alexander invariants of plane algebraic curves, (with C. Leidy)
**Int. Math. Res. Not.**, Volume 2006 (2006), Article ID 12976, 23 pages. - Intersection homology and Alexander modules of hypersurface complements.
**Comment. Math. Helv.**81 (2006), no. 1, 123-155. - A decomposition theorem for the Peripheral Complex associated with
hypersurfaces.
**Int. Math. Res. Not.**43 (2005), 2627-2656.

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- Proceedings of the International Conference on Singularity Theory and Applications (Hefei, China, 2011)
*Journal of Singularities, vol 5 (2012),***ISSN**: 1949-2006.

- 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.

- Notes on Intersection Homology and Perverse Sheaves, with Applications to Singularities. (lecture notes for a topics course at UW-Madison in Fall 2016.)
- Lecture notes on homotopy theory, spectral sequences, fiber bundles and characteristic classes. (lecture notes for an advanced algebraic topology course at UW-Madison in Spring 2018.)
- Lecture notes on homology, cohomology, Poincare duality. (lecture notes for an introductory algebraic topology course at UW-Madison in Spring 2013.)
- Notes on motivic integration and characteristic classes. (notes I wrote while attempting to learn this luring theory.)
- Alexander invariants of hypersurface complements. (notes for a series of lectures I gave at Tokyo University of Sciences and The University of Tokyo during the Summer of 2006.)

- Alexander invariants of hypersurface complements (Ph.D. Advisor: Julius Shaneson).

- 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.