Dr Allan Lo MA MMath PhD

Dr Allan Lo

School of Mathematics
Senior Lecturer

Contact details

Address
School of Mathematics
Watson Building
University Âé¶¹¾«Ñ¡
Edgbaston
Birmingham
B15 2TT
UK

Allan Lo is a Senior Lecturer, whose research interests lie primarily in combinatorics, in particular, in extremal graph theory and hypergraphs. He is currently investigating Ramsey-type problems in hypergraphs.

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Qualifications

  • MMath in Mathematics, Cambridge, 2011
  • PhD in Mathematics, University of Cambridge, 2010
  • MA in Mathematics, University of Cambridge, 2006
  • BA in Mathematics, University of Cambridge, 2005

Biography

Allan Lo received his PhD degree from the University of Cambridge in 2010 under the supervision of Professor Andrew Thomason. He was a postdoctoral position at Umeå University, Sweden. He then joined School of Mathematics at the University Âé¶¹¾«Ñ¡ in 2011 as a research fellow. In 2014, he became a Birmingham Fellow. He became a Senior Lecturer since 2019.

Teaching

Semester 1

LH/LM Combinatorics and Communication Theory

Semester 2

LI/LH Algebra and Combinatorics 2

Postgraduate supervision

Allan Lo is happy to hear from any students who are interested in PhD study in Combinatorics.

Research

Research themes

  • Combinatorics, especially Extremal Graph Theory and Hypergraphs and Ramsey Theory

Research activity

The main research area of Allan Lo is Combinatorics. He has worked on extremal graph theory, hypergraphs and Ramsey theory.

For example, he studied edge-decomposition of graphs. Typical questions in this field also arise from considering scheduling problems, a famous recreational example being Kirkman's schoolgirl problem which dates back to 1850 and asks for an assignment of 15 schoolgirls into groups of three on seven different days such that no two schoolgirls are allocated to the same group more than once.

This particular problem is easy to solve, and its solution is the simplest example of a Steiner triple system or, more generally, a combinatorial design. More general constructions of such combinatorial designs are often based on geometric and algebraic concepts such as projective planes and Hadamard matrices.

Publications

Recent publications

Article

Lo, A, Patel, V & Yildiz, MA 2025, '', Forum of Mathematics, Sigma, vol. 13, e79.

Bandyopadhyay, D & Lo, A 2025, '', Electronic Journal of Combinatorics, vol. 32, no. 1, P1.50.

Lo, A & Pfenninger, V 2025, '', SIAM Journal on Discrete Mathematics, vol. 39, no. 1, pp. 361-387. ,

Lo, A & Pfenninger, V 2024, '', Innovations in Graph Theory, vol. 1, pp. 1-19.

Bal, D, DeBiasio, L & Lo, A 2024, '', European Journal of Combinatorics, vol. 120, 103969.

Lo, A, Piga, S & Sanhueza Matamala, N 2024, '', Journal of Combinatorial Theory. Series B, vol. 167, pp. 55-103.

Lo, A, Patel, V & Yildiz, MA 2024, '', Journal of Combinatorial Theory. Series B, vol. 164, pp. 119-160.

Boyadzhiyska, S & Lo, A 2024, '', European Journal of Combinatorics.

Ferra Gomes De Almeida Girao, AJ, Granet, B, Kuhn, D, Lo, A & Osthus, D 2023, '', Proceedings of the London Mathematical Society.

Glock, S, Kuhn, D, Lo, A & Osthus, D 2023, '', Memoirs of the American Mathematical Society, vol. 284, no. 1406, pp. 1-144. ,

Lo, A & Pfenninger, V 2023, '', Electronic Journal of Combinatorics, vol. 30, no. 1, P1.13.

Conference contribution

Lo, A & Pfenninger, V 2023, . in ·¡±«¸é°¿°ä°¿²Ñµþ’23., 100, European Conference on Combinatorics, Graph Theory and Applications, no. 12, Masaryk University Press, pp. 1-6, European Conference on Combinatorics, Graph Theory and Applications, Prague, Czech Republic, 28/08/23.

Lo, A, Patel, V & Yildiz, MA 2023, . in ·¡±«¸é°¿°ä°¿²Ñµþ’23., 99, European Conference on Combinatorics, Graph Theory and Applications, no. 12, Masaryk University Press, pp. 1-8, European Conference on Combinatorics, Graph Theory and Applications, Prague, Czech Republic, 28/08/23.

Boyadzhiyska, S & Lo, A 2023, in ·¡±«¸é°¿°ä°¿²Ñµþ’23., 26, European Conference on Combinatorics, Graph Theory and Applications, no. 12, Masaryk University Press, pp. 1-7, European Conference on Combinatorics, Graph Theory and Applications, Prague, Czech Republic, 28/08/23.

Review article

Freschi, A & Lo, A 2024, '', Journal of Combinatorial Theory. Series B, vol. 169, pp. 338-351.