merge author aliases based on institution name and publication count

Question

The following author has published many papers from different institutes. I can link some of the alias names with a cartesian join. Is it possible to map all aliases to one primary author?

with t1 as 
(

select 'jones-william-j' as alias,'jones-w' as last_name_init,'The Institute Of Cancer Research, London'as institute_name,1 as pub_count
union all select 'jones-w-j','jones-w','University Of California',42
union all select 'jones-w-j','jones-w','Western University',2
union all select 'jones-willam-j','jones-w','University Of California',2
union all select 'jones-william','jones-w','University Of California',12
union all select 'jones-william-j','jones-w','University Of California',429
union all select 'jones-william-j','jones-w','University Of San Diego',1
union all select 'jones-william-j','jones-w','Va San Diego Healthcare System',2
union all select 'jones-william-j','jones-w','Western University',7

)
select * from t1;

alias	last_name_init	institute_name	pub_count
jones-william-j	jones-w	The Institute Of Cancer Research, London	1
jones-w-j	jones-w	University Of California	42
jones-w-j	jones-w	Western University	2
jones-willam-j	jones-w	University Of California	2
jones-william	jones-w	University Of California	12
jones-william-j	jones-w	University Of California	429
jones-william-j	jones-w	University Of San Diego	1
jones-william-j	jones-w	Va San Diego Healthcare System	2
jones-william-j	jones-w	Western University	7

The cartesian join give the following 2 authors jones-w-1 and jones-w-2, is it possible to merge these into one author_id jones-w-1?

with t1 as 
(

select 'jones-william-j' as alias,'jones-w' as last_name_init,'The Institute Of Cancer Research, London'as institute_name,1 as pub_count
union all select 'jones-w-j','jones-w','University Of California',42
union all select 'jones-w-j','jones-w','Western University',2
union all select 'jones-willam-j','jones-w','University Of California',2
union all select 'jones-william','jones-w','University Of California',12
union all select 'jones-william-j','jones-w','University Of California',429
union all select 'jones-william-j','jones-w','University Of San Diego',1
union all select 'jones-william-j','jones-w','Va San Diego Healthcare System',2
union all select 'jones-william-j','jones-w','Western University',7

)
select distinct
     a.last_name_init||'-'||DENSE_RANK() OVER (ORDER BY a.last_name_init,a.institute_name ASC)  author_id,
a.alias,
a.last_name_init,
a.institute_name,
a.pub_count
 from t1 a,
t1 b
  where 1=1
  and a.institute_name = b.institute_name
  and a.last_name_init = b.last_name_init
  and a.alias <> b.alias;

The result is as follows.

author_id	alias	last_name_init	institute_name	pub_count
jones-w-1	jones-w-j	jones-w	University Of California	42
jones-w-1	jones-willam-j	jones-w	University Of California	2
jones-w-1	jones-william	jones-w	University Of California	12
jones-w-1	jones-william-j	jones-w	University Of California	429
jones-w-2	jones-w-j	jones-w	Western University	2
jones-w-2	jones-william-j	jones-w	Western University	7

The desired result would be.

author_id	alias	last_name_init	institute_name	pub_count
jones-w-1	jones-w-j	jones-w	University Of California	42
jones-w-1	jones-willam-j	jones-w	University Of California	2
jones-w-1	jones-william	jones-w	University Of California	12
jones-w-1	jones-william-j	jones-w	University Of California	429
jones-w-1	jones-w-j	jones-w	Western University	2
jones-w-1	jones-william-j	jones-w	Western University	7