Site Index

A-B

• "An algebra of arithmetic functions" (talk, 9/07)
• "The algebra of multiple zeta values" (talk, 7/00)
• "The algebra of multiple zeta values and Euler sums" (talk, 5/06)
• "Algebra of multiple zeta values: harmonic and shuffle products" (talk, 5/09)
• "Algebra of multiple zeta values: Ohno's and Kawashima's theorems" (talk, 5/09)
• "Algebraic aspects of multiple zeta values" (talk, 3/03)
• "Algebraic structures on the set of multiple zeta values" (talk, 6/99)
• "Algebras associated with posets" (talk, 7/03)
• "Algebras of multiple zeta values, quasi-symmetric functions, and Euler sums" (talk, 5/98)
• An analogue of covering space theory for ranked posets    (preprint)
• Basis conjecture for multiple zeta values
• Biographical data for Michael Hoffman
• "Boustrophedonic triangles, snakes, and derivative polynomials" (talk, 9/97)

C-E

• "Calculating with Pictures, or How to Stay (Mostly) Sane in a Pandemic" (talk, 2/22)
• "A Combinatorial problem that produces interesting numbers" (talk, 4/18)
• "Combinatorics and multiple zeta values" (talk, 7/14)
• Combinatorics of rooted trees and Hopf algebras  (preprint)
• "Combinatorics and algebra: updown categories anv">Curriculum vitae for Michael Hoffman
• Cyclic sum theorem for multiple zeta values
• Description of Michael Hoffman's research
• Erdös numbers
• Leonhard Euler

G-L

• Kurt Gödel
• "Higher mathematics meets high-energy physics" (talk, 9/04)
• Mike Hoffman's running page
• Homepage for Michael Hoffman
• "A homomorphism on the symmetric functions coming from multiple zeta values and its applications" (talk, 10/08)
• "Hopf algebra structures on quasi-shuffle algebras" (talk, 5/12)
• "Hopf algebra structures on quasi-shuffle algebras and their applications" (talk, 11/17)
• "Hopf algebras and multiple harmonic sums" (talk, 4/04)
• "Hopf algebras of forests" (talk, 2/07)
• "Hopf algebras of rooted trees and the Hopf algebras of symmetric functions" (talk, 7/08)
• "Interaction of combinatorics and algebra: updown categories and Hopf algebras" (talk, 10/09)
• "Interpolated multiple zeta values" (talk, 10/16)
• Karl Jacobi
• "Labeled Posets, Iterated Integrals, and Nested Sums" (talk, 3/15)
• Solomon Lefschetz
• List of Mike Hoffman's races

M-N

• Mathematical ancestors of Michael Hoffman
• "Multiple harmonic series and Kontsevich's invariant" (talk, 1/98)
• "Multiple harmonic sums and quasi-symmetric functions" (talk, 1/01)
• Multiple zeta values
• "Multiple zeta values and alternating multiple zeta values arising from a combinatorial problem (talk, 1/18 "him18.html")
• "Multiple zeta values and quasi-symmetric functions" (talk, 4/13)
• "Multiple zeta values and quasi-symmetric functions: theme and variations" (talk, 3/11)
• "Multiple zeta values and the gamma function" (talk, 10/06)
• "Multiple zeta values: from Euler to the present" (talk, 11/07)
• "Multiple zeta values, iterated integrals, and labeled posets" (talk, 10/19)
• "Multiple zeta values of even arguments" (talk, 6/12)
• "Multiple zeta values of even arguments (and some analogous results)" (talk, 11/14)
• "Multiple zeta values and their extended family" (talk, 3/20)
• "Multiple zeta values: new applications and identities" (talk, 9/99)
• "Multiple zeta values, quasi-symmetric functions, and mirror symmetry" (talk, 6/00)
• "Multiple zeta values: the view from Osaka" (talk, 3/03)
• "Noncommutative derivations and multiple zeta values" (talk, 3/00)
• Notable mathematicians

O-P

• "Odd relatives of multiple zeta values" (talk, 4/16)
• "An odd variant of multiple zeta values" (talk, 6/14)
• "An overview of recent work on multiple zeta values and polylogarithmic constants" (talk, 11/00)
• Periods of mirrors and multiple zeta values  (preprint)
• Henri Poincaré
• "(Poly)logarithmic integrals and multiple zeta values" (talk 6/18)
• "Polynomials defined by derivatives and their applications" (talk, 11/00)
• Professional links
• "Pruning Kreimer's trees" (talk, 5/02)
• Publications of Michael Hoffman (chronologically)
• Publications of Michael Hoffman (reverse chronologically)
• Publications of Michael Hoffman (by subject)

Q-R

• "Quasi-shuffle algebras" (talk, 4/12)
• "Quasi-shuffle algebras" (talk, 6/17)
• "Quasi-shuffle algebras and the interpolated product" (talk, 6/19)
• Quasi-shuffle products  (preprint)
• "Quasi-symmetric functions and applications" (talk, 2/06)
• "Quasi-symmetric functions and multiple zeta values" (talk, 9/06)
• Srinivasa Ramanujan
• References on multiple zeta values and Euler sums
• Relations of multiple zeta values and their algebraic expression  (preprint)
• Research of Michael Hoffman
• Research talks by year
• Results of Earth Day 5-K
• Bernhard Riemann
• "Rooted trees and symmetric functions" (talk, 5/06)

S

• Schedule and courses (USNA only)
• SM 221S Class Notes
• SM 279 Class Notes
• SM 486D Class Notes
• SM 122 Lecture Notes
• SM 242 Lecture Notes ("n242.html")
• "Sequential zeta values" (talk, 6/15)
• "Some generating functions for permutations" (talk, 3/06)
• "Some Hopf algebras of physical interest" (talk, 3/06)
• "Some prehistory of finite multiple zeta values" (talk, 8/14)
• Norman Steenrod
• "The strange and varied appearances of extended multiple zeta values, or, how a pure mathematician sank so low as to write a paper with decimal points" (talk, 4/17)
• "Sum fun with sequences" (talk, 9/00)
• "Sums of generalized harmonic series (NOT multiple zeta values)" (talk, 2/14)
• "Sum theorems for multiple zeta values, old and new" (talk, 6/16)
• "A symmetry result for interpolated multiple zeta values" (talk, 9/19)

T-Z

• Things to worry about
• "Unrenormalizing the positive integers" (talk, 11/07)
• "Updown categories" (poster)
• "Updown categories and algebraic structures" (talk, 1/06)
• "Updown categories and their generating functions" (talk, 2/05)
• "Updown categories as a framework for generalized hook-length formulas" (talk, 10/10)
• "Updown posets" (talk, 9/02)
• "Values of derivative polynomials and counting snakes" (talk, 11/99)
• Web-based course resources for Calculus 3
• "What is a Hopf algebra?" (talk, 9/98)
• Oscar Zariski