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How to approach a potential PhD supervisor

University professors receive numerous requests for PhD positions from students who are about to graduate from a university and are seeking their chance. Many such requests I receive are composed in such a way that they lose before they start. This small page explains the reasons for this, and then explains how to write the first email to the potential PhD supervisor.

There are many opportunities for doing a PhD study, and almost everyone with decent marks and wishing to get a PhD position can eventually get one, but before this happens, the potential candidate will have to approach many potential supervisors. If you are sending messages to, for example, 40 professors, and all other students in your situation will do the same, then, given that there are many more students than professors, how many messages will every professor receive? Is it possible to answer all of them? On the other hand, professors do need research students. Hence, for a professor the practical solution is to look quickly through the message and ignore the unsuitable ones (I always reply, even to the unsuitable ones, but this is another matter).

The main components of suitability are the candidate level and background, the candidate readiness to work hard, the candidate interest in the topic, the candidate honesty, and the candidate respect for the time spent by the potential supervisor reading the first message. And because of the last point, all this needs to be conveyed just in a few sentences. Hence, in your first message, cover very briefly (so that one does not need to scroll to read the message) each of the following points.

1. Tell who you are (your name), what you are (studying what), and how good you are (the expected quality of your undergraduate degree and/or your ranking among your peers, and the ranking of your university in your country if the potential supervisor can be expected not to know this. This is the level and background).

2. Tell what you are interested in. This should match the research interest of the potential supervisor, and you need to know what it is and demonstrate that you know. Hence, you need to carefully read the research web pages of the prospective supervisor and identify the topics of interest in sufficient detail so that the potential supervisor would recognize that you are not sending the same text to many people. Of course, you have to approach many potential supervisors, but if you do it with the same text, this signals that you prefer the supervisor to do what should be your work.

3. Ask if there is a suitable opportunity.

Here is an example of a very bad letter, with explanations of what is bad:

Dear professor, (Should have a name in this line, showing that it is not the same text sent to many)

My research interest in UAV design closely matches your research interests described in your web page. (Shows that the sender did not look at my research web page, or he/she would not say this).

Please read my CV and reply with the opportunities for me in your group. (An unjustified demand on my time, the applicant should first make sure of the research interest fit.)

Best regards ...

Here is an example of a good letter (the student details are fictitious):

Dear Prof. Chernyshenko,

My name is Alexey Titov. I am about to graduate with a distinction degree from the department of applied mathematics of the Rostov State University, considered to be among top ten Russian universities in mathematical sciences. I will likely be ranked among top 5% of the mathematics students in the year.

I am interested in doing a PhD under your supervision, in particular in the area of applying sum-of-squares of polynomials optimization to fluid dynamics, or something similar. I would be happy to do both theoretical and numerical studies.

Is there an opportunity for doing a PhD in your group?

Best regards Alexey
PS My CV is attached, in case you are interested in more details.

Note the key part above: sum-of-squares of polynomials optimization to fluid dynamics. This is specific enough to indicate that the applicant really knows what I am doing, and would really be interested in that topic. Maybe it is even too specific, skin friction reduction in turbulent flows would also be all right, as well as other topics I am interested in (note that my interests shifted since the above was written).

Well, please send me letters like the second one, not like the first one. And I am not an exception, other academics are the same ☺.

Once again, your first contact email in brief:

Who you are, what you are, how good you are, demonstrate that you know the supervisor's research interests, ask about what you want. Be brief. And attach the CV.

Best luck. One can always find a place to do a PhD.

This is an email link: Send an e-mail to Sergei Chernyshenko

Try it, it is easy and !

Timeline:

  • Will be in Lille 11-12 December 2025. On 12th, will give a talk at (Note the non-standard time, 2pm!).
  • Attended and gave a plenary talk at , Aligarh (U.P), India, 20-23 December 2024.
  • Attended the at the , Germany 28 July - 2 August 2024.
  • Gave a talk on at the .
  • Gave a talk on Bounding time averages: a road to solving the problem of turbulence at Institut de Mathématiques de Bordeaux, Bordeaux, May 4, 2023.
  • Gave a talk on at Institut Pprime, Bordeaux on May 3, 2023.
  • Talk at Department of Engineering, University of Cambridge, 4 November 2022, as part of the CUED Fluids seminar series, video: Joint work with Owen Tutty and Hanying Yang.
  • On August 15, 2022, gave (online) an invited talk "On the path to solving the problem of turbulence" at the
  • On July 22, 2022, gave (online) a talk "Bounds for time averages: towards solving the problem of turbulence" at the
  • In January-April 2022 was a long-term participant of the . Gave two talks: and .
  • Gave a talk Auxiliary functionals: a path to solving the problem of turbulence at on March 4, 2021. Links to and .
  • Gave a talk on at IPAM, Wednesday, January 13, 2021, as part of the workshop on Transport and Mixing in Complex and Turbulent Flows. Great talks, all recorded, highly recommended.
  • Gave a talk Accelerating time averaging at 73rd Annual Meeting of the APS Division of Fluid Dynamics, November 22, 2020: and video.
  • 2020: the virus ... living online ... most of the year working on additional administration and teaching related to the pandemic ...
  • Gave a talk at , Snowbird, Utah, U.S, May 19 - 23, 2019.
  • Gave a keynote lecture at the workshop , The Fields Institute, Toronto, April 15-18, 2019.
  • Gave a talk at 26-29 March 2019, Haus der Kirche, Bad Herrenalb, Germany.
  • Gave a seminar talk on Accelerating time averaging using auxiliary functions at the Aerodynamics and Flight Mechanics group seminar, University of Southampton, on 6 February 2019
  • Visited the in September 13-30, 2018.
  • Attended , London, August 29-31, 2018, with a talk Large-scale motions for the QSQH theory (with Chi Zhang).
  • Gave a talk on Questions concerning quasi-steady mechanism of the Reynolds number, pressure gradient, and geometry effect on drag reduction at the Aachen, Germany, 15-16 March 2018.
  • Gave a lecture course , with Giovanni Fantuzzi providing exercise sessions, at
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    Sergei Chernyshenko