Biography A Cotlar: Mischa

of

1913, of the , youngest the Sarney, in

two in Cotlar born sons Mischa

was

adminis- father, who His descent. Jewish of Medved, both Ovsey Sara Cotlar and

passionately mathemat- interested

in

player,

avid chess mill,

tered flour

was

an

was

a

emigrated Cotlars

the library. 1928 In to considerable music, and had and in ics

a

time, Americas." At the of the

Switzerland "the

known , then

country as

a

father However, his

education. formal

only of

had 15 and had Mischa year a

was

pianist. good already

Mischa music• and mathematics and taught him had a

was

lived

The four Cotlars

Montevideo, the Upon arrival their poor. very to were

sold father The work. had of them newspa-

single and each

to in crammed room,

a

and

became motorman, tramway oldest the

downtown

a street son corner,

at

pers

a

thing Mr.

The first

harbor bar. in

piano 4 4 from played the Mischa to

a

p.m. a.m.

squeezed

be

had Mischa, which piano for installments) (in to

bought Cotlar

a was

living tight already in the

space.

turned Mr.Cotlar assured,

survival immediate

their settled and they Once

were

Aje-

Uruguaya

de Sociedad of the

annual

the

and contest chess his attention to

won

surprised and journalists

publicity, the and

much received

For this he drez. were

Uruguayan

pseudonym

of known

Ovsey the Cotlar

realizing that not amused a

at was

vendor,

Ukraine-born of street

real player the newspaper rather but' chess

a name

mathematics. gifted

in

have

who claimed

to

son a

Laguardia,

mathematics, Rafael school of Uruguayan an of the was The founder

prize-winning with the interviews read

himself, the

player newspa- and he avid chess

Cotlar, Mr. immediately visit Laguardia

Professor went to with interest. vendor per

him. Mischa who introduced

to

Engineering. of the School

the mathematics professor of

Laguardia, at

young

a

Although

Sorbonne. La Picard with studied Republica, had at Universidad la

de

promoting

main interest theory, his integration

specialized he in the had was

new

place

meeting

the in people. house His mathematics was young among

xvi Biography Cotlar: Mischa A

mathematics, for daily. gathered interested in students and there almost young

men

library seminar, He in Mischa the best mathematical had invited his

town. to

was

Laguardia's introduced library. friends, given students and At and the to

to access

time, theory, the Mischa

much interested in and solved number

he had

very

was sev-

problems suggested eral Grave's textbook, Sarney. in which He he had in read open

Laguardia, his boy showed results completed astonished: who only that

had to

was

a

elementary actually proved of school theorems, several had and had done

year one

rigor, although rudimentary absolute with techniques. notations with and strange

so

fact, already of In proved by professional results the mathematicians, had been

some

something Laguardia Mischa that did know. Two later invited Mischa not

to years

Engineering theory teach

his School seminar in the number of the at

a course on

Repfiblica. Universidad la de

playing piano Mischa Laguardia continued 1931, the harbor bar the until when at

job

pianist playing him fancy trio in chamber music

British Hotel in the got at

a as a a

Este, There, Punta played the seaside del Mischa exclusive Jaime with Toma- resort.

Argentine

virtuosi, of the later international reached who great sow, one renown,

and become of would who friends. his closest

one

Spanish Rey Pastor, Professor In 1934 mathematician, Julio living the in then

Aires, Buenos

lecture invited developments Montevideo in

the in

to

was on new

mathematics. Those history Uruguayan landmark lectures became in of the math-

a

Argentina. induced ematics Mischa 1935, and In Montevideo for left he to to move

Aires, Buenos become which hometown. his to was

changed Mischa's life in

He carried letter for Profes-

many ways. a

Vignaux, C.

immediately J.

private who recommended him of

mathe-

tutor sor

as a

matics, Tutoring analytic theory introduced and who later him the functions. of to

piano playing substituted for of income.

source as a

Mischa friends, shared small with his Tomasow the violinist the

and

room young a

philosopher Soon Jaime arrival, Resta. after mathematics, of he students met two

Sadosky,

Cora Ratto multiple develop with and Manuel whom Mischa bonds.

to

was

1937, Yanny Frenkel,

In Rey he also Pastor, Russian of later student be met to a

graduates first of mathematics from the doctoral in Universidad the de Buenos one

1938, Yanny In Mischa Aires. married. and

were

Those deep intellectual of excitement involve- emotional and great years

were

corresponded Fr6chet, Mischa pub- helped Maurice with Professor him who ment.

deeply lish Hinduism, philosophy, his results. In 1935 he became interested in Hindu

Krishnamurty, Buddhism. In Buenos Aires and Mischa J. life- who his be

met to

was

long

Beppo , Rosario, friend. The teacher Levi and arrival of also to

was

significant development, they philosophical in his since shared scientific and very

interests. fruitful, published

interaction Their Levi Mischa's and results in very

was

journals Rosario, the Matheraaticae founded in he Revista del the Notae and In- two

Matemdticas de stituto de Rosario. A Mischa Ricabarra, few later Rodolfo met years

the

mathematician with deepest established whom he of and the

young

most

one

important intellectual, philosophical, relationships and mathematical life. of his

job. appointed Mischa still But academic In 1947 had he

research instruc- no

was

Plata, Universidad National the La fired later, de six but when the months tor at

was

diploma. found authorities Iicial II, of After that he had World War several

out

no

prominent George including Stone, mathematicians, Birkhoff, Marshall Adrian A.

Albert, Zygmund, Argentina. Antoni visited and These visits of historic rel; were

xvii

Biography Cotlar: A Mischa

engineer, and

Calder6n,

Alberto

Zygmund young

that met a then

It

was evance.

recommended

Birkhoff Chicago and Calder6n Mischa. to went discovered

Birkhoff

1950. in

Fellowship, which he

Guggenheim

Mischa

for won

a

months

They six 1951.

spent States in United the Yanny traveled

and Mischa to

Kakutani. In the

S. ergodic theory with

studied Mischa University, where Yale

at

graduate

accepted

be stu- arranged him for Stone had to meantime, a Professor

as

Mischa

education.

formal of

lack spite his Chicago, of in

University of the dent

at

thesis, The- "On the writing

Zygmund,

Antoni

under worked Chicago and a

went to

Chicago

University of

from

the Ph.D. his received Transform." He Hilbert of

the ory

diploma!

Finally

had

he 1953. in

a

There they returned. Argentina, and yearned

for Yanny no were and Mischa Yet

of the card-carrying

members

for

Aires, except Buenos Universidad

de jobs the

at

Nacional de Universidad

forming the

at

However, ruling

group party. was

new

a

Mischa Monteiro. A. mathematician Portuguese

was exiled by inspired Cuyo, the

Investiga-

Departmento de of the

Institute

Mathematics

of the Director invited

as

mathematicians-- Argentine

active and of the Cientfficas, where young most

ciones

celebrated four his Mischa There pa- exclusions--clustered. political wrote without

published

the in

These thesis. doctoral his in expanding work done the were pers

Cuyana. Matematica Revista

Sciences of School the Mathematics

of

appointed Professor at Cotlar 1957 In

was

Ar- generations of

shaped several There he Aires. Buenos Universidad de of the

Panzone, Rafael of dissertations

doctoral directed the and mathematicians gentine

Although

Concepci6n

dur- Ballester. Ortiz, and Sadosky, Eduardo de Cora Ratto

and

textbooks he relatively few published two wrote

period Mischa papers,

ing

that

Seminarios "Cursos series appeared in the monographs monographs. The y three

Aires,

Buenos de Universidad of the of Science School Matemfitica" the from

de

original

of results

his of contained they Sadosky, and most Cora de by Ratto

edited

collaboration

in written algebra

first

textbooks, the

course, The time. the

one on

collaboration

analysis, in

functional

other Sadosky,

and the

de

Ratto Cora

with

on

Press.

Aires University of Buenos EUDEBA,

the published by

Cignoli,

with

R.

were

ordered

the Illia Arturo deposed

President junta military that

as- 1966, July In

a

of the

Sciences

of School of the faculty students and

beating of the vicious and

sault

hundred with

four resigned--along than

Cotlar Aires.

Buenos de Universidad more

he

later A briefly Montevideo.

returned

members-and faculty was year to

other

the taught (1967-1971), also and University he at Rutgers professor appointed

at

(1971).

Venezuela

Central de

Universidad (1969-70) the and Universit6 Nice

de at

faculty

joined

the Mischa Argentina, where

returned Yanny In 1972 Mischa

and to

initi- Argentina, he in During that stay Plata.

La Nacional de Universidad

of the

Manuel friends daughter of his

Sadosky,

the Cora

steady with collaboration ated

a

deteriorating

1974, under

occasionally In worked. Cora, had and with he

whom a

Mischa Caracas, where back Argentina, Cotlars cre- political the to situation in went

Rodrigo

of dissertation

doctoral the

directed analysis, and

in ated research group a

Arocena.

Uni- Washington taught extensively. has He

Cotlar traveled at has and lectured

(1963), Uni-. College (1962), Darmouth Chicago

(1958), versity University of the

Ingenieria

Lima (1966), Universidad de at Rep6blica Montevideo versidad

de la

at

(1982). 1989. he In University (1967), (1972), Howard gave University and McGill

Waissman of received the

He Aviv. University of Tel Toeplitz Lectu#6s the the at one

D.J.G.

Argentina

of Tecnicas

Cientificas

Investigaciones

y

Nacional de

Consejo

of the Prize

of the Prize

(1984), the and

Venezuela of

Ciencias

Nacional

de

Premio (1964),

the

Universi-

of the

Professor

Honorary

(1950).

is He

Spain

of

Ciencias

Academia de

has 1987, he

Since

Plata.

La de Nacional

Universidad

the

and

Aires

Buenos dad

de

Naturales

Fisicas

Exactas, Ciencias y Nacional

de

Academia

of the member been a

Argentina. of

international

the in involved intensely

Cotlar

1956--1966

period was

During the

Cora

with

founded

1961, he In

scientists. responsibility

of

social

the

for movement

Resposabilidad

Argentina

la

Sociedad

por

the Bunge,

Mario and

Sadosky

de

Ratto

Mathe-

of Congress

International

the carried

to 1962, he

In

Ciencia.

la de Social

of noncooperation

urging the

Russell's

letter

Bertrand

Stockholm,

in held maticians,

de Ratto Cora again

with 1964,

In establishment.

military

the

with mathematicians

devoted

newsletter 10,

Columna

coedited

Bullrich,

he a Francisco

with Sadosky and

politics.

He

international

technology

and

science on of

impact

analysis

the

of

the

to

which

Einstein,

Fundaci6n Alberto sup-

the of

directors

of board

the

also

on

was

Buenos Universidad de

of the.

Sciences of School

the from students

talented

ported

scientists

Argentine

distinguished

re-

became later people who

Many Aires. young

fellowships.

Einstein Fundaci6n

ceived

Argentina in

in democracy of

the and, since return

Caracas,

in works

Cotlar

now

Aires.

Buenos

periodically

in

taught

1984, has he

Argentini-

themselves consider Russia,

in

born both

although

Yanny, and

Mischa

into

well

fits Mischa's life

adopted

country,

his

for

devotion

stubborn his

With

ans.

the For Passion. Argentine

of

Story

The

novel

classic

an Mallea's

Arturo of title

the

math-

Venezuelan Argentine and

of

development

the in had

has influence

he

deep

their

him claim

own. Americans

to as Latin

pride for is it ematicians, a

J.G. D.