Matthew K. Tam

See my work


I am Lecturer for Operations Research in the School of Mathematics and Statistics at the University of Melbourne. I am also an investigator in the Melbourne Centre for Data Science.

I received a PhD from the University of Newcastle (Australia) under the supervision of Jonathan Borwein where I was a member of the Centre for Computer-assisted Research Mathematics and its Applications (CARMA). My thesis was titled "Iterative projection and reflection methods: theory and practice". After my PhD, I moved to the University of Göttingen where I was a post-doctoral researcher with D. Russell Luke supported by DFG-GK2088 and the Alexander von Humboldt Foundation. Prior to joining the University of Melbourne, I was Junior Professor for Mathematical Optimisation in the Institute for Numerical and Applied Mathematics at the University of Göttingen and a member of the Continuous Optimisation, Variational Analysis and Inverse Problems workgroup.

Research keywords: continuous optimisation and its applications, monotone operator theory, variational and convex analysis, symbolic computation

Opportunities at UniMelb

I am always happy to discuss potential projects with masters and PhD students as well as postdocs. Please take a look at my recent publications and send me an email outlining your background and interests.

Current Opportunities

  • PhD Scholarships @ UniMelb - approximate deadlines are September 30th for international applicants and October 31st for domesetic applicants.
  • McKenzie Postdoctoral Fellowship - Three year post-doctoral positions for recent doctoral graduates with a PhD from a university other than the University of Melbourne.
  • Feodor Lynen Research Fellowships - As a former Alexander-von-Humboldt fellowship holder, I am eligible to host German-based researchers through the Feodor Lynen Research Fellowships scheme. There are two application categories: post-doctoral researchers (up to 4 years post-PhD), and experienced researchers (up to 12 years post-PhD).
  • Maths/Stat Job Listing at UniMelb - Employment opportunities within the School of Mathematics and Statistics at the University of Melbourne.
  • Discovery Early Career Researcher Award (DECRA) - Three year grant to support early career researchers (up to 5 years post-PhD).
  • GOstralia! - Diverse Förderungsmöglichkeiten von Deutschland.


Selected Talks

  1. Gearhart-Koshy acceleration for affine subspaces, WoMBaT (online edition), December 2020 [Video]
  2. Splitting algorithms with forward steps, ICCOPT Berlin, August 2019 [PDF]
  3. Algorithms based on unions of nonexpansive maps, ISMP Boreduax, July 2018 [PDF]
  4. Symbolic convex analysis, CARMA Seminar at U. Newcastle, May 2017 [PDF]
  5. Algorithms for blind ptychographic imaging, CARMA Workshop on Mathematics and Computation at U. Newcastle, June 2015 [PDF]
  6. Theory and application of convex and non-convex feasibility problems Lecture Series (on behalf of J. Borwein), Spring School on Variational Analysis in Paseky nad Jizerou, Czech Republic, April 2015. [PDF] [URL]
  7. Reflection methods for Euclidean distance matrix reconstruction, Australian - New Zealand Mathematics Convention at U. Melb., Dec 2014. [PDF] [Video]
  8. Visualizing projection algorithms, ICERM Challenges in 21st Century Experimental Mathematical Computation Workshop at Brown U., July 2014. [PDF] [Video]
  9. Cyclic Douglas-Rachford iterations, AustMS Annual Meeting at U.Syd, Sept-Oct 2013. [PDF]
  10. Douglas-Rachford for combinatorial optimisation, AMSSC at ANU, July 2013. [PDF]