Books

  1. Operads of Wiring Diagrams.  Get it from the arxiv.
  2. Colored Operads, AMS Graduate Studies in Mathematics Vol. 170, 2016.
  3. Infinity Properads and Infinity Wheeled Properads, joint work with Marcy Robertson and Philip Hackney, Springer Lecture Notes in Mathematics Vol. 2147, 2015.  The arxiv version is here.
  4. A Foundation for PROPs, Algebras, and Modules, joint work with Mark W. Johnson, AMS Mathematical Surveys and Monographs Vol. 203, 2015.
    • By agreement with the AMS, two years after publication (in May 2017), a pdf copy of the book will be posted here.
  5. A First Course in Analysis, World Scientific, 2013.
  6. Lambda-Rings, World Scientific, 2010.

Papers

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