פרופ' אדם צ'פמן

Prof. Adam Chapman

מוסד עיקרי

המכללה האקדמית ת"א יפו

The Academic College of Tel Aviv Yaffo

דוא״ל

adamch@mta.ac.il

קורות חייםCV

דיסציפלינות ראשיותMain Disciplines

Mathematics

דיסציפלינות משניותSecondary Disciplines

Algebra

תחומי מחקר / מילות מפתחKeywords

Algebraic K-theory, Central simple algebras, Galois cohomology, Quadratic forms

פרסומים ויצירות עיקריים / עדכנייםMain / Recent Publications

Chapman, A., McKinnie, K. Biquaternion Algebras, Chain Lemma and Symbol Length. Mediterr. J. Math. 20, 255 (2023).
Chapman, A., Gatto, L. & Rowen, L. Clifford semialgebras. Rend. Circ. Mat. Palermo, II. Ser 72, 1197–1238 (2023).
Chapman, A., Florence, M. & McKinnie, K. Common splitting fields of symbol algebras. manuscripta math. 171, 649–662 (2023).
Chapman, A. Octonion polynomials with values in a subalgebra. European Journal of Mathematics 9, 4 (2023).
Adam Chapman, Alexander Guterman, Solomon Vishkautsan & Svetlana Zhilina (2023) Roots and critical points of polynomials over Cayley–Dickson algebras, Communications in Algebra, 51:4, 1355-1369
Adam Chapman and Elad Paran. 2023. Fixed points and orbits in skew polynomial rings. Journal of Algebra and Its Applications
Adam Chapman. 2022. Essential dimension of central simple algebras of degree 8 and exponent 2 in characteristic 2. Journal of Algebra and Its Applications
Adam Chapman, Linkage of sets of cyclic algebras, Journal of Pure and Applied Algebra, Volume 226, Issue 3, 2022
Adam Chapman ; Solomon Vishkautsan - Roots and Dynamics of Octonion Polynomials. cm:9042 - Communications in Mathematics, October 26, 2022, Volume 30 (2022), Issue 2
CHAPMAN, A., & VISHKAUTSAN, S. (2021). FIXED POINTS OF POLYNOMIALS OVER DIVISION RINGS. Bulletin of the Australian Mathematical Society, 1-7.
Adam Chapman (2021) Linkage of sets of quaternion algebras in characteristic 2, Communications in Algebra, 49:9, 3680-3684,
Adam Chapman. "Field of Iterated Laurent Series and its Brauer Group." Bull. Belg. Math. Soc. Simon Stevin 27 (1) 1 - 6, may 2020.
Polynomial equations over octonion algebras. Adam Chapman Journal of Algebra and Its Applications 2020 19:06
Factoring octonion polynomials/ Adam Chapman. International Journal of Algebra and Computation 2020 30:07, 1457-1463
Chapman, A., & McKinnie, K. (2020). Essential Dimension, Symbol Length and $p$ -rank. Canadian Mathematical Bulletin, 63(4), 882-890.
Chapman, A. Linkage of symbol p-algebras of degree 3. Arch. Math. 114, 391–398 (2020).
(with Demba Barry and Ahmed Laghribi) The descent of biquaternion algebras in characteristic two, Israel Journal of Mathematics 235 (2020), no. 1, pp. 295-323.
Adam Chapman, Andrew Dolphin, Types of linkage of quadratic Pfister forms, Journal of Number Theory, Volume 199, 2019, Pages 352-362
Adam Chapman & Uzi Vishne (2019) The alternative Clifford algebra of a ternary quadratic form, Communications in Algebra, 47:10, 3987-3994
(with Kelly McKinnie) The $u^n$-invariant and the symbol length of $H^n_2 (F)$, Proceedings of the American Mathematical Society 147 (2019), no. 2, pp. 513-521.
(with Jean-Pierre Tignol) Linkage of Pfister forms over $\mathbb{C}(x,...,x_n)$, Annals of K-Theory 4 (2019), no. 3, pp. 521--524.
(with Eyal Cornfeld) Classication of crystalline topological insulators and superconductors with point group symmetries, Physical Review B 99 (2019), no. 7, 075105 (22 pages).
CHAPMAN, A. (2018). COMMON SLOTS OF BILINEAR AND QUADRATIC PFISTER FORMS. Bulletin of the Australian Mathematical Society, 98(1), 38-47.
Adam Chapman, Kelly McKinnie, Kato–Milne cohomology and polynomial forms, Journal of Pure and Applied Algebra, Volume 222, Issue 11, 2018, Pages 3547-3559
(with Andrew Dolphin and David Leep) Triple Linkage of Quadratic Pfister Forms, Manuscripta Mathematica 157 (2018), no. 3-4, pp. 435-443.
Chapman, A., Machen, C. Standard Polynomial Equations Over Division Algebras. Adv. Appl. Clifford Algebras 27, 1065–1072 (2017).
Chapman, A., Dolphin, A. Differential forms, linked fields, and the u-invariant. Arch. Math. 109, 133–142 (2017).
Chapman, A., Chapman, M. Symbol p-algebras of prime degree and their p-central subspaces. Arch. Math. 108, 241–249 (2017).
Adam Chapman, Shira Gilat & Uzi Vishne (2017) Linkage of quadratic Pfister forms, Communications in Algebra, 45:12, 5212-5226
Adam Chapman (2017) Symbol length of p-algebras of prime exponent. Journal of Algebra and Its Applications 2017 16:07
Adam Chapman & Charlotte Ure (2017) Tensor products of cyclic algebras of degree 4 and their Kummer subspaces, Communications in Algebra, 45:3, 1218-1226
Adam Chapman, David J. Grynkiewicz, Eliyahu Matzri, Louis H. Rowen, Uzi Vishne, Kummer spaces in symbol algebras of prime degree, Journal of Pure and Applied Algebra, Volume 220, Issue 10, 2016, Pages 3363-3371
Adam Chapman, Andrew Dolphin, Ahmed Laghribi, Total linkage of quaternion algebras and Pfister forms in characteristic two, Journal of Pure and Applied Algebra, Volume 220, Issue 11, 2016, Pages 3676-3691

מענקים ופרסים | Grants and Awards

Chateaubriand Fellowship

Linkage of sets of quaternion algebras

Wallonie Bruxelles International

Bourse de specialisation