## What I thought about this summer |

**Professor William Zwicker**

Union College

September 15, 2015

5:00 pm

Bailey Hall 207

Refreshments will be served in Bailey Hall 204 4:45pm

When three hundred mathematicians are competing for fifty research grants, who wins? In many places (including Catalonia, where my Spanish co-author Josep Freixas lives) the value of a researcher'sHirsch Citation Index–HCI– plays a role. TheHCIassigns a numerical value to your research record, based on productivity P (the number of research papers you published) and impact I (the number of other papers that cite yours). A record that strikes anappropriate balancebetween P and I yields a higherHCI, improving your chances for a grant.Fifty-five years before Hirsch suggested his index, John Nash proposed a solution for the

two person bargaining problem: how should two peopleAandBreach an agreement that will determine the amount of utility (money? pleasure?) each gets? Nash's solution strikes an appropriate balance between the amount of utilityAgets from the bargain, and the amountBgets.Our talk will focus on the key idea that Josep Freixas and I had this summer, of developing an improved version of

HCIby importing Nash's more sophisticated notion ofappropriate balanceinto Hirsch's context.

For additional information, send e-mail to math@union.edu or call (518) 388-6246.

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