Preprints and Papers Submitted for Publication
 Schedules and the Delta Conjecture,
joint with Emily Sergel.
arXiv:1908.04732
 ePositivity Results and Conjectures,
joint with Adrinao Garsia, Marino Romero, and Dun Qiu.
arXiv:1904.07912
 Some conjectures on the Schur expansion of Jack polynomials,
joint with Per Alexandersson and George Wang.
arXiv:1810.12763
(Link to extended abstract appearing in the FPSAC 2018 Proceedings),
arXiv:1805.00511
 Macdonald polynomials and chromatic quasisymmetric functions,
joint with Andy Wilson.
arXiv:1701.05622
Published Articles in Preprint Form
(Reprints of definitive published versions available upon request)
 Combinatorial aspects of Macdonald and related polynomials,
AskeyBateman project, Chapter 10 in the volume on Multivariate special functions,
Cambridge University Press, to appear.
PDF
 Realrootedness of variations of Eulerian polynomials,
joint with Philip Zhang. Adv. in Appl. Math., to appear.
arXiv:1902.01278
 A proof of the Delta Conjecture when q=0,
joint with Adriano Garsia, Jeff Remmel, and Meesue Yoo. Ann. of Combin., 23 (2019), 317333.
arXiv:1710.07078
 Some new symmetric function tools and their aplications,
joint with Adriano Garsia and Marino Romero. J. of Combin. (special issue in honor of Jeff Remmel),
10 (2019), 655674.
pdf
 pRook numbers and cycle counting in Cp wreath Sn,
joint with Jeff Remmel and Messue Yoo.
Developments in Mathematics, Vol. 58, Lattice Path Combinatorics and its Appl., Andrews, G. E., Krattenthaler, C., Krinik, A. (Eds.),
Springer (2019), pp. 250282.
PDF
 HallLittlewood expansions of Schur Delta operators at t=0,
joint with Brendon Rhoades and Mark Shimozono.
Seminaire Lotharingien, B79c (2019), 20pp.
pdf
 A generalized major index statistic on tableaux,
joint with Emily Sergel. Seminaire Lotharingien, B78b (2018), 8 pp.
pdf
 Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture,
joint with Brendon Rhoades and Mark Shimozono. Adv. Math., 19 (2018), 851915.
arXiv:1609.07575
 The Delta conjecture,
joint with Jeff Remmel and Andy Wilson. Trans. Amer. Math. Soc., 370 (2018), 40294057.
arXiv:1509.07058
 Some new applications of the StanleyMacdonald Pieri Rules
,
joint with Adriano Garsia, Guoce Xin, and Mike Zabrocki.
The Mathematical Legacy of Richard Stanley, AMS, Providence, RI, Hersh, P., Lam, T., Pylyavskyy, P.,
Reiner, V. (Eds.), 2016, pp. 141168.
arXiv:1407.7916
 The combinatorics of knot invariants arising from the study of Macdonald polynomials,
Recent Trends in Combinatorics, The IMA
Volumes in Math. and its Applications, Vol. 159, Beveridge, A., Griggs, J.R., Hogben, L.,
Musiker, G., Tetali, P. (Eds.), 2016, pp. 579600.
PDF.
 Catalan Paths and q,tEnumeration,
Handbook of Enumerative Combinatorics, Discrete Math. Appl. (Boca Raton), CRC Press (2015), 679751.
PDF
 A polynomial expression for the character of diagonal harmonics,
joint with A. Garsia. Ann. Combin., 19 (2015), 693703.
PDF
 Constant term methods in the theory of Tesler matrices and Macdonald polynomial operators,
joint with A. Garsia and G. Xin. Ann. Combin., 18 (2014), 83109.
PDF
 Properties of the nonsymmetric RobinsonSchenstedKnuth algorithm,
joint with Sarah Mason and Jeff Remmel. J. Algebraic Combin., 38 (2013), 285327.
PDF
 Combinatorics of Tesler matrices in the theory of parking functions and diagonal harmonics,
joint with D. Armstrong, A. Garsia, B. Rhoades, and B. Sagan. J. Comb., 3 (2012), 451494.
PDF
 Stable multivariate Eulerian polynomials and generalized Stirling permutations,
joint with M. Visontai. Eur. J. Combin., 33 (2012), 477487.
PDF
 A new recursion in the theory of Macdonald polynomials,
joint with A. Garsia. Ann. Combin., 16 (2012), 77106.
PDF
 A compositional shuffle conjecture specifying touch points of the Dyck path,
joint with Jennifer Morse and Mike Zabrocki. Canad. J. Math., 64 (2012), 822844.
arXiv:1008.0828
 Proof of the monotone column permanent conjecture,
joint with P. Brändén, M. Visontai and D. G. Wagner.
in: P. Brändén, M. Passare, M. Putinar (Eds.), Notions of positivity and the geometry of polynomials
(Trends in Mathematics), Birkhäuser, Basel (2011), 6378.
arXiv:1010.2565
 A polynomial expression for the Hilbert series of the quotient ring of diagonal coinvariants,
Adv. Math., 227 (2011), 20922106. PDF
 Some conjectures on the zeros of approximates to the Riemann Xifunction and incomplete
gamma functions,
Cent. Eur. J. Math., 9(2) (2011), 302318.
PDF
 Refinements of the LittlewoodRichardson rule,
joint with K. Luoto, S. Mason, and S. Van Willigenburg.
Trans. Amer. Math. Soc., 363 (2011), 16651686.
arXiv:0908.3540
 Quasisymmetric Schur functions,
joint with K. Luoto, S. Mason, and S. Van Willigenburg.
J. Combin. Theory Ser. A, 118 (2011), pp. 463490.
arXiv:0810.2489
 On the Monotone Column Permanent conjecture,
joint with M. Visontai. Discrete Math. Theor. Comput. Sci., Proceedings of the FPSAC 2009
conference, volume (2009), pp 443454.
PDF
 A combinatorial formula for nonsymmetric Macdonald polynomials,
joint with M. Haiman and N. Loehr.
Amer. J. of Math., 103 (2008), pp. 359383.
arXiv.org/abs/math.CO/0601693
 An extension of the Foata map to Standard Young Tableaux,
joint with L. Stevens.
Seminaire Lotharingien, 56 (2006), Article B56C.
PDF
 The genesis of the Macdonald polynomial statistics,
Seminaire Lotharingien
(Proceedings of the Garsiafest/Formal Power Series and Algebraic
Combinatorics 2005 conference held in Taormina, Sicily), Vol. 54A.
http://www.mat.univie.ac.at/~slc/
 A combinatorial formula for Macdonald polynomials, joint
with M. Haiman and N. Loehr. Jour. Amer. Math. Soc., 18 (2005), pp. 735761.
arXiv.org/abs/math.CO/0409538
 A conjectured combinatorial formula for
the Hilbert series for diagonal harmonics, joint with Nick Loehr.
Discrete Math.
(Proceedings of FPSAC 2002 conference held in Melbourne, Australia.)
298 (2005), pp. 189204.
Postscript ,
PDF
 Combinatorial theory of
Macdonald polynomials I: Proof of Haglund's formula
joint with M. Haiman and N. Loehr.
Proc. Nat. Acad. Sci. USA, 102, No. 8
(2005), pp. 26902696.
(Condensed version of the paper "A Combinatorial formula for Macdonald
polynomials").
Article,
Cover Image.
 A combinatorial formula for the character of the diagonal coinvariants,
(31 pages), joint with M. Haiman, N. Loehr, J. Remmel and A. Ulyanov.
Duke Math. J., 126 (2005), pp. 195232.
arXiv:math.CO/0310424.
 Statistics on wreath products, perfect matchings and signed words, (49 pages), joint with N. Loehr and J. Remmel.
Eur. J. Combin.(special issue on "Combinatorics and Representation
Theory"), 26 (2005), pp. 835868.
Postscript ,
PDF.
 A combinatorial model for the Macdonald polynomials,
Proc. Nat. Acad. Sci. USA, 101 (2004), pp. 1612716131.
Postscript ,
PDF
 A proof of the q,tSchröder conjecture,
Internat. Math. Res. Notices, 11 (2004), pp. 525560.
Postscript ,
PDF.
 Cycles and perfect matchings, joint with Jeff Remmel.
Discrete Math., 274 (2004), pp. 93108.
Postscript ,
PDF.
 A Schröder generalization of Haglund's statistic on Catalan paths,
joint with Eric Egge, Darla Kremer and Kendra Killpatrick.
Electron. J. of Combin., 10 (2003), Research Paper 16, 21 pages
(electronic).
Postscript ,
PDF,
 Conjectured statistics for the (q,t)Catalan numbers,
Adv. Math., 175 (2003), 319334
Postscript ,
PDF.
 A proof of the q,tCatalan positivity conjecture,
joint with
Adriano Garsia. LACIM 2000 conference on Combinatorics,
Computer Science and Applications (Montreal, QC),
Discrete Math., 256 (2002), 677717.
PDF.
 Rook theory for perfect matchings, joint with Jeff Remmel.
Adv. in Appl. Math.,
(Special issue dedicated to D. Foata) 27 (2001), 438481.
Postscript ,
PDF,
 A positivity result in the theory of Macdonald polynomials,
joint with Adriano Garsia.
Proc. Nat. Acad. Sci. USA, 98
(2001), 43134316 (electronic).
Postscript ,
PDF,

Further investigations involving
rook polynomials with only real zeros,
Eur. J. Combin., 21 (2000), 10171037.
Postscript ,
PDF,

Generalized rook polynomials, joint with Jay Goldman.
J. Combin. Theory Ser. A, 91 (2000),
509530.
Postscript ,
PDF,
 Theorems and conjectures involving rook polynomials with
only real zeros, joint with Ken Ono and David Wagner.
Topics in Number Theory (University Park, PA, 1997),
Math. Appl., 467, Kluwer (1999), 207221.
Postscript ,
PDF,
 On the nonnegativity of
the coefficients of some polynomials occurring in the
theory of cubical spheres,
Ann. Sci. Math. Quebec, 22 (1998), 4345.
Postscript ,
PDF,
 qRook polynomials and matrices over finite fields,
Adv. in Appl. Math., 20 (1998), 450487.
Postscript ,
PDF.
 Rook theory and tcores, joint with Lawrence Sze and Ken Ono.
J. Combin. Theory Ser. A, 84
(1998), 937.
Postscript ,
PDF.
 Rook theory and hypergeometric series,
Adv. in Appl. Math., 17 (1996), 408459.
 Rook theory, compositions and zeta functions,
Trans. Amer. Math. Soc., 348 (1996), 37993825.