Books

  1. Homotopical Quantum Field Theory.  arxiv version
  2. Boardman-Vogt Resolutions of Generalized Props
    • Joint work with Mark W. Johnson.  This is currently being revised.
  3. Operads of Wiring Diagrams.  arxiv version.
    • This will appear in Springer Lecture Notes in Mathematics.
  4. Colored Operads.  AMS Graduate Studies in Mathematics Vol. 170, 2016.
  5. Infinity Properads and Infinity Wheeled Properads.  arxiv version
    • Joint work with Marcy Robertson and Philip Hackney.  Springer Lecture Notes in Mathematics Vol. 2147, 2015.
  6. A Foundation for PROPs, Algebras, and Modules
    • Joint work with Mark W. Johnson.  AMS Mathematical Surveys and Monographs Vol. 203, 2015.  An older version.
  7. A First Course in Analysis . World Scientific, 2013.
  8. Lambda-Rings. World Scientific, 2010.

Papers

  1. A simplicial model for infinity properads (with Marcy Robertson and Philip Hackney), Higher Structures 1 (2018), 1-21.
  2. Bousfield Localization and Algebras over Colored Operads (with David White), Applied Categorical Structures 26 (2018) 153-203. doi:10.1007/s10485-017-9489-8.

  3. Shrinkability, relative left properness, and derived base change (with Marcy Robertson and Philip Hackney), New York Journal of Mathematics 23 (2017) 83-117.

  4. Relative left properness of colored operads (with Marcy Robertson and Philip Hackney), Algebraic and Geometric Topology 16 (2016) 2691-2714.
  5. The classical Hom-Yang-Baxter Equation and Hom-Lie bialgebras, International Electronic Journal of Algebra 17 (2015) 11-45.
  6. Rota-Baxter Hom-Lie-admissible algebras (with Abdenacer Makhlouf), Communications in Algebra 42 (2014), 1231-1257.
  7. Hom-quantum groups: I. Quasi-triangular Hom-bialgebras, Journal of Physics A 45 (2012) 065203.
  8. Hom-Maltsev, Hom-alternative, and Hom-Jordan algebras, International Electronic Journal of Algebra 11 (2012) 177-217.
  9. On n-ary Hom-Nambu and Hom-Nambu-Lie algebras, Journal of Geometry and Physics 62 (2012) 506-522.
  10. Operations on the Hopf-Hochschild complex for module-algebras, Homology, Homotopy and Applications 13 (2011) 259-272.
  11. The Hom-Yang-Baxter equation and Hom-Lie algebrasJournal of Mathematical Physics 52 (2011) 053502.
  12. Hom-Novikov algebrasJournal of Physics A 44 (2011) 085202.
  13. Hom-bialgebras and comodule Hom-algebras, International Electronic Journal of Algebra 8 (2010) 45-64.
  14. On homotopy invariance for algebras over colored PROPs (with Mark W. Johnson), Journal of Homotopy and Related Structures 4 (2009) 275-315.
  15. The L-deformation complex of diagrams of algebras (with Yael Fregier and Martin Markl), New York Journal of Mathematics 15 (2009) 353-392.
  16. Hom-algebras and homology Journal of Lie Theory 19 (2009) 409-421.
  17. The Hom-Yang-Baxter equation, Hom-Lie algebras, and quasi-triangular bialgebrasJournal of Physics A 42 (2009) 165202.
  18. Cohomology with coefficients for operadic coalgebras (with Anita Majumdar), Proceedings Mathematical Sciences 119 (2009) 431-452.
  19. Cohomology and duality for coalgebras over a quadratic operad (with Anita Majumdar), Journal of Generalized Lie Theory and Applications 3 (2009) 131-148.
  20. Enveloping algebras of Hom-Lie algebras, Journal of Generalized Lie Theory and Applications 2 (2008) 95-108.
  21. Cohomology for morphisms of Yetter-Drinfel’d and Hopf modules, International Journal of Algebra 2 (2008) 239-252.
  22. Deformation theory of dialgebra morphisms, Algebra Colloquium 15 (2008) 279-292.
  23. Deformation bicomplex of module algebras, Homology, Homotopy and Applications 10 (2008) 97-128.
  24. Deformation of dual Leibniz algebra morphisms, Communications in Algebra 35 (2007) 1369-1378.
  25. Cohomology and deformation of module-algebras, Journal of Pure and Applied Algebra 209 (2007) 781-792.
  26. Gerstenhaber structure and Deligne’s conjecture for Loday algebras, Journal of Pure and Applied Algebra 209 (2007) 739-752.
  27. Deformations of coalgebra morphisms, Journal of Algebra 307 (2007) 106-115.
  28. (Co)homology of triassociative algebras, Int. J. Math. and Math. Sciences 2006 (2006), Article ID 69248, 21 pages.
  29. On λ-rings and topological realization, Int. J. Math. and Math. Sciences 2006 (2006), Article ID 91267, 21 pages.
  30. Deformation of algebras over the Landweber-Novikov algebra, Journal of Algebra 298 (2006) 507-523.
  31. Deformation theory of modules, Communications in Algebra 33 (2005) 2351-2359.
  32. Loop structures on the homotopy type of S3 revisited, Michigan Mathematical Journal 53 (2005) 283-290.
  33. Cohomology of λ-rings, Journal of Algebra 284 (2005) 37-51.
  34. On adic genus and lambda-rings, Transactions of the AMS 357 (2005) 1341-1348.
  35. Moduli space of filtered λ-ring structures over a filtered ring, Int. J. Math. and Math. Sciences 2004 (2004) 2065-2084.
  36. Maps to spaces in the genus of infinite quaternionic projective space, Progress in Mathematics 215 (2004) 293-302.
  37. Unstable K-cohomology algebra is filtered λ-ring, Int. J. Math. and Math. Sciences 2003 (2003) 593-605.
  38. Clapp-Puppe type Lusternik-Schnirelmann (co)category in a model category, Journal of the Korean Math. Society 39 (2002) 163-191.
  39. Possible line sums for a qualitative matrix (with C.R. Johnson and S.A. Lewis), Linear Algebra and Its Applications 327 (2001) 53-60.

 

Conferences

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