Kevin Hutchinson
Lecturer/Assistant Professor
School Of Mathematics & Statistics
Science Centre - North
Belfield
Dublin 4
Tel: +353 1 7162577
Email: kevin.hutchinson@ucd.ie
Biography
Member, Irish Mathematical Society
Member, European Mathematical Society
Member, American Mathematical Society
Reviewer, Mathematical Reviews
Dr Hutchinson is the Principal Investigator of a project entitled `K-theory, Quadratic Forms and Central Simple Algebras', funded by IRCSET (Research Project R8690), October 2002 to October 2005.
He was also a member of the UCD node of the EU RTN network on K-Theory and Linear Algebraic Groups. (2001-2005)
Professional
Conference Contributions
Kevin Hutchinson (2011) Conference in honour of Jean-Louis Cathelineau. [Invited Lecture], Seminaire Mediteraneen d'Algebre et Topologie, University of Nice , 14-JUN-12 - 16-JUN-12. |
Kevin Hutchinson; (2011) Conference in Honour of Professor A O Kuku. [Invited Lecture], Algebraic K-theory and its Applications, Nanjing University, Nanjing China , 17-MAR-11 - 21-MAR-11. |
Kevin Hutchinso n (2012) Conference in honour of Jurgen Hurrelbrink. [Invited Lecture], Algebraic K-theory and Arithmetic, Banach Centre, Bedlewo, Poland , 22-JUL-12 - 28-OCT-12. |
Kevin Hutchinson; (2009) A research conference in number theory. [Invited Lecture], UCD/Nottingham Number Theory Meeting, University of Nottingham, UK , 02-MAY-09 - 02-MAY-09. |
Committees
Committee : Irish Mathematical Society |
Committee : National SubCommission on Mathematical Instruction |
Committee : Graduate Taught Programmes Board, EMPS |
Employment
Employer: University College Dublin Position: Lecturer |
Employer: Haverford College Position: Visiting Assistant Professor |
Employer: University of Pennyslyvania Position: Assistant Professor |
Education
Year 1981 Institution: University College Dublin Qualification: BA Subject: |
Year 1982 Institution: University College Dublin Qualification: MA Subject: |
Year 1984 Institution: Cornell University Qualification: MSc Subject: --none-- |
Year 1987 Institution: Cornell University, NY, USA Qualification: PhD Subject: |
Other Activities
Invited Seminar : Relations between elementary matrices, and number theroy (to Queen's University Belfast) 02/12/2005 |
Invited Seminar Talk: DCU School of Mathematical Sciences Seminar, February 28th, 2008. Title: "Quadratic Forms and Geometry" |
Invited Seminar: Hausdorff Centre for Mathematics, Bonn, Algebra Seminar, 25th November 2008 Talk Title: Homology of the Special Linear Group and Milnor-Witt K-theory |
Publications
Peer Reviewed Journals
Kevin Hutchinson and Matthias Wendt (2015) 'On the third homology of SL_2 and weak homotopy invariance'. Transactions of the American Mathematical Society, 367 (10):7481-7513. [Details] |
Kevin Hutchinson (2016) 'The second homology of SL_2 of S-integers'. Journal of Number Theory, 159 :223-272. [Details] |
Kevin Hutchinson (2015) 'On the low-dimensional homology of SL_2(k[t,1/t])'. Journal of Algebra, 425 :324-366. [DOI] Link to full text [Details] |
Kevin Hutchinson (2013) 'A refined Bloch group and the third homology of SL_2 of a field'. Journal of Pure and Applied Algebra, 217 (11):2003-2035. Link to full text [Details] |
Kevin Hutchinson (2013) 'A Bloch-Wigner sequence for SL_2'. K-Theory, 12 :15-68. [DOI] Link to full text [Details] |
Kevin Hutchinson, Liqun Tao (2013) 'Milnor-Witt K-theory and tensor powers of the augmentation ideal of Z[F^*]'. Algebra Colloquium, 20 (3):515-522. [Details] |
Hutchinson, K. and Tao, L.; (2010) 'Homology stability for the special linear group of a field and Milnor-Witt K-theory'. Documenta Mathematica, special volume dedicated to A. A. Suslin :245-293. Link to full text [Details] |
Hutchinson, K. and Tao, L.; (2009) 'The third homology of the special linear group of a field'. Journal of Pure and Applied Algebra, 213 (9):1665-1680. [Details] |
Hutchinson, K.; (2008) ''A Note on Milnor-Witt K-theory and a Theorem of Suslin'. Communications in Algebra, 36 (7):2710-2718. Link to full text [Details] |
Hutchinson, K.; (2006) 'Etale wild kernels of exceptional number fields'. JOURNAL OF NUMBER THEORY, 120 :47-71. [Details] |
Hutchinson, K.; (2004) 'On Tame and Wild Kernels of Special Number Fields'. Journal of Number Theory, 107 :368-391. [Details] |
Hutchinson, Kevin; Ryan, Dermot; (2004) 'Hilbert symbols as maps of functors'. Acta Arithmetica, 114 (4):349-368. [Details] |
Hutchinson, K.; (2001) 'The 2-Sylow subgroup of the wild kernel of exceptional number fields'. Journal of Number Theory, 87 (2):222-238. [Details] |
Hutchinson, K; (2001) 'The 2-Sylow subgroup of the wild kernel of exceptional number fields'. Journal of Number Theory, 87 :222-238. [Details] |
Boland, PJ; Hutchinson, K; ; (2000) 'Student selection of random digits'. Journal of the Royal Statistical Society Series D-The Statistician, 49 (NA):519-529. [Details] |
Boland, P.J. and Hutchinson, K.; (2000) 'Student Selection of Random Digits'. The Statistician, 49 (4):519-529. [Details] |
Hutchinson, K.; (1999) 'Conditions under which K2 is not generated by Dennis-Stein symbols'. Acta Arithmetrica, LXXXXIX :189-199. [Details] |
Hutchinson, K.; (1996) 'Hecke Actions on the K-Theory of Commutative Rings'. Journal of Pure and Applied Algebra, 111 :181-198. [Details] |
Hutchinson, K.; (1995) 'On relative integral bases for unramified extensions'. Acta Arithmetrica, :279-286. [Details] |
HUTCHINSON, K; (1995) 'NORM GROUPS OF GLOBAL FIELDS'. Journal of Number Theory, 50 :323-328. [Details] |
HUTCHINSON, K; (1995) 'ON RELATIVE INTEGRAL BASES FOR UNRAMIFIED EXTENSIONS'. Acta Arithmetica, 70 :279-286. [Details] |
Hutchinson, K.; (1995) 'Norm Groups of Global Fileds'. Journal of Number Theory, 50 (2):323-328. [Details] |
Hutchinson, K.; (1990) 'A New Approach to Matsumoto's Theorem'. K-Theory, 4 :181-200. [Details] |
Conference Publications
Kevin Hutchinson and Masha Vlasenko (2010) Lines crossing a tetrahedron and the Bloch group . In: Piotr Pragacz eds. IMPANGA Conference on Algebraic Geometry Banach Centre, Bedlewo, , 04-JUL-11 - 10-JUL-11 , pp.297-303 [Details] |
Research
Research Interests
Dr Hutchinson's main research interests concern algebraic K-theory and its applications to number theory. Algebraic K-theory is a powerful machine for constructing useful algebraic invariants of mathematical objects, which often turn out to reveal unexpected connections between apparently unrelated parts of mathematics; in particular, between geometry and algebra. This machine can be applied to the objects of fundamental interest in algebraic number theory: the rings of algebraic integers in number fields. When this is done, many classical invariants are recovered as special cases; ideal class groups, groups of units, reciprocity laws. But new invariants and new connections with geometry and topology are also revealed by this approach. For example, the values at integers of zeta functions associated to the number field are closely related to these K-theoretic invariants. Homological Algebra, K-theory, Algebraic Number Theory
I was the Principal Investigator of a project entitled K-theory, Quadratic Forms |
Research Projects
Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET) Title : Structure of K-groups of Rings of Integers Start Date / End Date : 01-NOV-08 / 31-OCT-10 |
Sponsor : Science Foundation Ireland (SFI) Title : Geometric Interpretations of the Witt Ring of a Field Start Date / End Date : 01-SEP-05 / 31-JAN-09 |
Sponsor : Irish Research Council for Science Engineering and Technology (IRCSET) Title : Quadratic Forms, Algebraic K-Theory and Central Simple Algebras Start Date / End Date : 01-OCT-02 / 30-SEP-05 |