Staff profile

• Polylogarithms, algebraic K-theory, multiple zeta values

• Pure Mathematics: Algebra & Number Theory

Chapter in book

• Carr, S., Gangl, H. & Schneps, L. (2015). On the Broadhurst-Kreimer generating series for multiple zeta values. In Feynman amplitudes, periods, and motives: international research conference on periods and motives: a modern perspective on renormalization: July 2-6, 2012, Institute de Ciencias Matemáticas, Madrid, Spain. Álvarez-Cónsul, L., Burgos Gil, J. I. & Ebrahimi-Fard, K. Providence, Rhode Island: American Mathematical Society. 648: 57-77.
• Elbaz-Vincent, Ph & Gangl, H (2015). Chapter 31: Finite polylogarithms, their multiple analogues and the Shannon entropy. In Geometric Science of Information. Nielsen, F & Barbaresco, F 9389: 277-285.
• Gangl, H. (2010). Regulators via iterated integrals (numerical computations). In The geometry of algebraic cycles. Providence, RI: Amer. Math. Soc. 9: 99-117.
• Gangl, H., Goncharov, A. B. & Levin, A. (2009). Multiple polylogarithms, polygons, trees and algebraic cycles. In Algebraic geometry--Seattle 2005. Part 2. Abramovich, D., Bertram, Aaron, Katzarkov, Ludmil, Pandharipande, Rahul & Thaddeus, Michael Providence, RI: American Mathematical Society. 80: 547-593.
• Gangl, H, Goncharov, A.B. & Levin, A. (2007). Multiple logarithms, trees and algebraic cycles. In Frontiers in Number Theory, Physics and Geometry II. P. Cartier, B. Julia, P. Moussa & P. Vanhove Berlin Heidelberg: Springer. II: 759-774.

Conference Proceeding

• Gangl, H., Kaneko, M. & Zagier, D. (2006). Double zeta values and modular forms. Automorphic forms and zeta functions, Tokyo, Japan, World Scientific.

Journal Article

• Charlton, Steven, Gangl, Herbert, Lai, Li, Xu, Ce & Zhao, Jianqiang (2023). On two conjectures of Sun concerning Apéry-like series. Forum Mathematicum
• Charlton, Steven, Gangl, Herbert & Radchenko, Danylo (2021). On functional equations for Nielsen polylogarithms. Communications in Number Theory and Physics 15(2): 363-454.
• Burns, David, de Jeu, Rob, Gangl, Herbert, Rahm, Alexander D. & Yasaki, Dan (2021). Hyperbolic tessellations and generators of for imaginary quadratic fields. Forum of Mathematics, Sigma 9: e40.
• Gangl, Herbert, Dutour Sikiriˇc, M, Gunnells, P, Hanke, J, Schuermann, A & Yasaki, D (2019). On the topological computation of K_4 of the Gaussian and Eisenstein integers. Journal of homotopy and related structures 14: 281-291.
• Gangl, Herbert, Karaali, Gizem & Lee, Woohyung (2019). Homophonic quotients of linguistic free groups: German, Korean, and Turkish. Involve, a Journal of Mathematics 12(3): 463.
• Dutour Sikirić, Mathieu, Gangl, Herbert, Gunnells, Paul E., Hanke, Jonathan, Schürmann, Achill & Yasaki, Dan (2016). On the cohomology of linear groups over imaginary quadratic fields. Journal of Pure and Applied Algebra 220(7): 2564-2589.
• Gangl, H. (2013). Functional equations and ladders for polylogarithms. Communications in Number Theory and Physics 7(3): 397-410.
• Elbaz-Vincent, Ph., Gangl, H. & Soule, C. (2013). Perfect forms, K-theory and the cohomology of modular groups. Advances in Mathematics 245: 587-624.
• Burns, David, de Jeu, Rob & Gangl, Herbert (2012). On special elements in higher algebraic K-theory and the Lichtenbaum-Gross Conjecture. Advances in Mathematics 230(3): 1502-1529.
• Duhr, Claude, Gangl, Herbert & Rhodes, John (2012). From polygons and symbols to polylogarithmic expressions. Journal of High Energy Physics 2012(10): 075.
• Gangl, H. (2007). Goncharov's trilogarithm relation on pictures. Journal of number theory 124(1): 17-25.
• Belabas, K. & Gangl, H. (2004). Generators and Relations for K_2 O_F. K-Theory 31(3): 195-231.
• Gangl, H. (2003). Functional equations for higher logarithms. Selecta Mathematica 9(3): 361-377.
• Elbaz-Vincent, Ph. & Gangl, H. (2002). On poly(ana)logs I. Compositio Mathematica 130(2): 161-214.
• Elbaz-Vincent, Ph., Gangl, H. & Soulé, C. (2002). Quelques calculs de la cohomologie de GL_N(Z) et de la K-theorie de Z. Comptes Rendus Mathematique 335(4): 321-324.