Tomas Nilson's home page

  TN   

Retired Senior Lecturer in Mathematics

Department of Engineering, Mathematics and Science Education (IMD)
Mid Sweden University
S-85170 Sundsvall, Sweden

Tel:  + 46 (0)10 - 148522

tomas.nilson@miun.se


Research interests

My main research is in discrete mathematics with emphasis on combinatorial design theory. Ongoing projects are aimed primarily at proving existence, finding construction methods and investigating properties for block designs and different types of row-column designs. Applications include, among other areas, experimental design.

Publications

Refereed articles

7.     Intercalates in double and triple arrays, Tomas Nilson, J. Combin. Des. 30, no 3 (2022), pp 135-151.
6.     Solution formulas for the two-dimensional Toda lattice and particle-like solutions with unexpected asymptotic behaviour. Tomas Nilson and Cornelia Schiebold.
        Journal of Nonlinear Math. Physics, vol. 27:1, ss 57-94 (2020).

5.     Sesqui-arrays, a generalisation of triple arrays, Rosemary. A. Bailey, Peter J. Cameron and Tomas Nilson, Australasian Journal of Combinatorics, 71, no 3 (2018), pp 427-451.
4.     Triple arrays from difference sets, Tomas Nilson and Peter J. Cameron, Journal of Combinatorial Designs, 25, no 11 (2017) pp 494-506.
3.     Triple arrays and Youden squares, Tomas Nilson and Lars-Daniel Öhman, Designs, Codes and Cryptography, 75, no. 3 (2015) pp 429-451.
2.     Inner balance of symmetric designs, Tomas Nilson and Pia Heidtmann, Designs, Codes and Cryptography, 71, no. 2 (2014) pp 247-260.
1.     Pseudo-Youden designs balanced for intersection, Tomas Nilson, Journal of Statistical Planning and Inference, 141, no. 6 (2011) pp 2030-2034.

Other publications

-     Solution formulas for the two-dimensional Toda lattice and particle-like solutions with unexpected asymptotic behaviour.Nilson T. and Schiebold C.
      Mid Sweden Mathematical Reports 2 (2018).
-     Some Matters of Great Balance, PhD thesis, Mid Sweden University (2013).
-     Row-column designs with adjusted orthogonality, Master's thesis, Mid Sweden University (2007)).
-     Diskret analys, Bachelor's thesis, Mitthögskolan (2002).
-     En liten concerto grosso, Gehrmans musikförlag.

      Google scholar citations

Alphabetical list of co-authors

-    R. A. Bailey (1), University of St Andrews, Scotland
-    P. J. Cameron (2), University of St Andrews, Scotland 
-    P. Heidtmann (1), Mid Sweden University
-    C. Schiebold (1), Mid Sweden University
-    L.-D. Öhman (1), Umeå University, Sweden

Seminars

-     Approaches to Agrawal's conjecture, Umeå University 2022.
-     Splittable designs, Mid Sweden University, math@miun 2022.
-     Intercalates in double and triple arrays, BCC 2019, University of Birmingham, England.
-     An introduction to triple arrays and related designs, LinStat 2018, Bedlewo, Poland.
-     Triple arrayer från differensmängder, Mid Sweden University, math@miun 2017.
-     A new family of triple arrays, BCC 2017, University of Strathclyde, Glasgow, Scotland.
-     Introduktion till triple arrayer, Mid Sweden University math@miun 2017.
-     Agrawal's conjecture for triple arrays, University of St Andrews, Scotland 2017.
-     On Agrawal's conjecture for triple arrays, new results, Combinatorics 2016, Maratea, Italy.
-     Matematisk designteori, Mittuniversitetet vetenskapsdag 2015.
-     Generalized inner balance, BCC 2015, University of Warwick, Open problem session.
-     Agrawal's Conjecture for Triple arrays, Örebro University 2014.
-     Public defence of doctoral thesis "Some Matters of Great Balance", Mid Sweden University 2013.
-     Ett litet seminarium om ett korttrick, Mittuniversitetet DIM 2011.
-     A search for inner balance, Mid Sweden University 2011.
-     Inner balance of designs, Umeå University 2010.
-     Combinare necesse est!, Mittuniversitetet Dubbelkvart 2010.
-     Hadamardmatriser, Mittuniversitetet DIM 2008.
-     Extremal mängdteori, Mittuniversitetet DIM 2008.
-     Row-column designs with adjusted orthogonality, Mid Sweden University 2007.
-     Inre balans I o II, Mittuniversitetet 2006.
-     Kirkman och skolflickorna, Mittuniversitetet 2005.
-     Discrete analysis, London University, Queen Mary, PCC 2004.
-     Steiner triple systems, Mitthögskolan 2003.
-     Diskret analys, Mitthögskolan 2002.

Conferences and research stays/visits

-     Umeå University, November-December 2022
-     29th British Combinatorial Conference, July 2022, Lancaster University, England.
-     27th British Combinatorial Conference, July-August 2019, University of Birmingham, England.
-     LinStat 2018, August 2018, Bedlewo, Poland. Invited speaker to special session of Combinatorics with Applications in Experimental Designs.
-     26th British Combinatorial Conference, July 2017, University of Strathclyde, Glasgow, Scotland.
-     University of St Andrews, Scotland, February-March 2017
-     Combinatorics 2016, May-June 2016, Maratea, Italy
-     University of St Andrews, Scotland, April 2016
-     25th British Combinatorial Conference, July 2015 University of Warwick, England.
-     Örebro University November 2014
-     Umeå University April 2012
-     Umeå University November 2010
-     International Congress of Mathematicians 2010 Hyderabad, India
-     Combinatorics Study Group February 2010 London, England
-     Combinatorics 2008 Costermano, Italy
-     15th Postgraduate Combinatorial Conference 2004 London, England

Organiser of seminar series

-     math@miun seminars  2017-2019
-     DIM seminars 2008-2013

Updated 2023-05-20