Masthead 2021

Convergence is published yearly by the Department of Mathematical Sciences at Carnegie Mellon University for its students, alumni and friends to inform them about the department and serve as a channel of communication for our community. Readers with comments or questions are urged to send them to Convergence. The department is headed by Prasad Tetali.


Prasad Tetali, Department Head


Jocelyn Duffy, Associate Dean for Communications

Design & Layout

Matthew Salyers, Communications Manager

Contributing Writers

Jocelyn Duffy, Ben Panko, Emily Payne, Steve Shreve, Elizabeth Speed, Colleen Storm

Publications Managers

Emily Payne, Rachel Keeney

Photography & Images

Jonah Bayer, Digital Producer
Courtesy of Carnegie Mellon University, unless otherwise noted

Online Magazine

Gigi Wiltanger, Web Manager


Carnegie Mellon University
Department of Mathematical Sciences
Wean Hall 6113
Pittsburgh, PA 15213

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Inquiries concerning the application of and compliance with this statement should be directed to the university ombudsman, Carnegie Mellon University, 5000 Forbes Avenue, Pittsburgh, PA 15213, telephone 412-268-1018.
Obtain general information about Carnegie Mellon University by calling 412-268-2000
Produced for the Department of Mathematical Sciences by Marketing & Communications, November, 2018, 19-150.
©2018 Carnegie Mellon University, All rights reserved. No part of this publication may be reproduced in any form without written permission from Carnegie Mellon University’s Department of Mathematical Sciences.

About the Cover

The graph shows the volatility in percent on the vertical axis for IBM stock computed from the prices of options with differing strike prices and times to expiration using Dupire’s formula.

Image generated by MathFinance AG based on data sources from Bloomberg for IBM volatilities of April 6, 2020.