Postal address: Department of Statistics, 24-29 St Giles', Oxford OX1 3LB Department of Statistics: Room 3.08. My research interests are in probability and combinatorics. Published papers and preprints. I am a trustee of the Applied Probability Trust and a member of the editorial board for the London Mathematical Society Student Texts book series. Alex Scott and I organise the online Oxford Discrete Mathematics and Probability Seminar, held on Zoom on some Tuesday afternoons during Oxford termtime. I am also on the board of the One World Probability project. I am one of the co-ordinators of the Marie Curie RISE project RandNET. A fledgling list of online resources for my research group. A calendar of (primarily UK) conferences in probability. |

A (reasonably non-technical) account I wrote of some recent work on minimum spanning trees.

Click on + to expand.

- Research interests
- I wrote my Ph.D. thesis on various aspects of the structure of random hypergraphs, with particular emphasis on the use of stochastic process methods. I have worked extensively on processes of coagulation (or coalescence) and fragmentation. More recently, I have been working on scaling limits for random trees and graphs.

- Brief academic CV
- B.A. and M.Math. in Mathematics at New Hall (now Murray Edwards College), University of Cambridge.
- Ph.D. in the Statistical Laboratory, University of Cambridge, with James Norris.
- 2003-4: Postdoc in the Laboratoire de Probabilités et Modèles Aléatoires at Université Paris VI with Jean Bertoin.
- 2004-7: Stokes Fellow in Mathematics at Pembroke College, Cambridge.
- 2007-9: EPSRC Postdoctoral Fellowship in the Department of Statistics at the University of Oxford.
- 2009-11: Assistant Professor in the Department of Statistics at the University of Warwick.
- 2011-2017: Associate Professor in the Department of Statistics and Tutorial Fellow in Statistics at Lady Margaret Hall, University of Oxford.
- 2017 onwards : Professor of Probability in the Department of Statistics and Tutorial Fellow in Statistics at Lady Margaret Hall, University of Oxford,
- March 2011: Professeur invité at Université Paris-Sud (Orsay)
- February 2014: Professeur invité at CEREMADE, Univeristé Paris-Dauphine.
- January 2016-December 2020: EPSRC Early Career Fellow
- November 2016, November 2017: Professeur invité at LIX, École polytechnique.
- September 2018: Professeur invité at LAGA, Université Paris 13.
- September 2019: Visiting Fellow, Center for Advanced Studies, LMU Munich.

- Slides from talks
- Slides from my plenary lecture at SPA in Oaxaca, 19th-24th July 2011.
- Slides from my IMS Medallion lecture at the World Congress in Toronto, 10th-15th July 2016.
- Slides from my plenary talk at the German Probability and Statistics Days in Freiburg, 27th February-2nd March 2018.
- Slides from my talk at Walking through the Brownian Zoo, a conference in honour of Jean-Francois Le Gall's 60th birthday, Paris, 3rd-7th June 2019.

- Slides from minicourses
- Slides from four lectures on random trees, random graphs and fragmentation processes given at Warwick in April 2009: Lecture 1, Lecture 2, Lecture 3, Lecture 4.
- Slides and
the handout from a lecture
course given at the Young European Probabilists' Workshop on
*Probability, Random Trees and Algorithms*, EURANDOM, 8th-12th March 2010. - Slides from two lectures at the Dutch Stochastics Meeting in Lunteren, 12th-14th November 2012.
- Slides from a minicourse given at the ALEA in Europe Meeting, LMU Munich, 22nd-26th February 2016.
- Slides and exercise sheet from a minicourse given at the VIII Escuela de Probabilidad y Procesos Estocásticos, CIMAT, Guanajuato, Mexico, 12th-16th September 2016.
- Notes
and slides
for my minicourse
*Scaling limits of random trees and random graphs*at the PIMS-CRM Summer School in Probability, UBC, Vancouver, July 2017. - Slides
for my 4-hour minicourse
*Around the Brownian continuum random tree*at the Easter Probability Meeting, Sheffield 2018.

- Essays and theses
- Teaching
- Lectures
- Cambridge Part III Stochastic Calculus (2006)
- Warwick ST202 Stochastic Processes (2010)
- Oxford Mods/Prelims Probability (2011, 2012, 2013, 2014, 2015)
- APTS Applied Stochastic Processes (2012, 2013, 2014): course webpage
- OxWaSP Probability and Approximation Module (2014, 2015)
- Oxford Part B Applied Probability (2008, 2021, 2022, 2023)
- Oxford Part C Probability on Graphs and Lattices (2021, 2022)

- Classes
- Oxford Part B Applied Probability (2007-8, 2011-15, 2021-23)
- Oxford Part C Probabilistic Combinatorics (2008)

- Tutorials
- In Oxford, I have given tutorials on Prelims Probability, Prelims
Statistics, Prelims Optimisation, Part A Probability, Part
A Statistics, Part A Integration and Part A Graph Theory to
the LMH students.

In Cambridge in the distant past, I supervised Part IA Probability (for both Maths and CS students), Part IB Markov Chains and Part II Probability and Measure.

- In Oxford, I have given tutorials on Prelims Probability, Prelims
Statistics, Prelims Optimisation, Part A Probability, Part
A Statistics, Part A Integration and Part A Graph Theory to
the LMH students.
- Supervision
- I have acted as a coursework supervisor for the MSc in Statistical Science (formerly Applied Statistics) and for the MSc in Mathematical Sciences (OMMS)
- I have supervised Part C projects for Mathematics and Statistics students and masters dissertations for the MSc in Applied Statistics.

- Lectures
- Postdocs and DPhil students
- Zheneng Xie, DPhil student 2019-
- Rivka Mitchell, DPhil student 2021-

- Former students and postdocs
- Serte Donderwinkel, DPhil student 2018-2022, now postdoc at McGill University.
- Alex Homer, DPhil student 2016-21, now Statistician/Data Analyst at the Health and Social Care Alliance Scotland.
- Eleonora Kreačić, DPhil student 2013-17, jointly supervised with James Martin), now a Quantitative Researcher at JP Morgan Chase & Co.
- Dominic Yeo, DPhil student 2012-16 (jointly supervised with James Martin), now Lecturer at King's College London.
- François Bienvenu, postdoc October 2020-January 2021, now Junior Fellow at ETH Zurich.
- Christoph Koch, postdoc 2018-20, now software engineer in Graz, Austria.
- Mickaël Maazoun, postdoc 2020-2021, now school teacher in France.
- Robin Stephenson, postdoc 2018-20, now Lecturer at the University of Sheffield.
- Sanchayan Sen, postdoc April-August 2016, now Assistant Professor at the Indian Institute of Science.
- Simon Griffiths, postdoc 2013-16, now Assistant Professor at PUC Rio de Janeiro.
- Benjamin Scellier, École polytechnique, stage de M1 (2013), now principal research scientis at Rain.
- Delphin Sénizergues, École normale supérieure (Paris), stage de M2 (2015), now Maître de Conférences at Université Paris Nanterre.
- Guillaume Conchon-Kerjan, École normale supérieure (Paris), stage de M2 (2016), now postdoc at Bath.
- Valentin Rapenne, École normale supérieure de Lyon, stage de M1 (2018), now PhD student at Lyon 1 with Christophe Sabot and Xinxin Chen.
- Qizhao Chen, undergraduate summer project (2018), now PhD student at Harvard.
- Chris Dean, visiting PhD student (2022), currently finishing his PhD at Bath and soon to be a postdoc at Warwick.

- Co-authors
- Louigi Addario-Berry, Marie Albenque, Anne-Laure Basdevant, Jean Bertoin, Nicolas Broutin, Qizhao Chen, Guillaume Conchon-Kerjan, Daphné Dieuleveut, Rui Dong, Simon Griffiths, Bénédicte Haas, Olly Johnson, Eleonora Kreačić, Grégory Miermont, James Martin, James Norris, Michał Przykucki, Alex Scott, Delphin Sénizergues, Dario Spanò, Robin Stephenson, Daniel Ueltschi, Peter Windridge.
- My Erdős number is 3.

Some mathematical links and some non-mathematical links.

Mail to goldschm at stats.ox.ac.uk

Last modified: 11th May 2023.