Earlier, Sandra White, prosecuting, told the court that Riley had posted a number of offensive tweets, only some of which related to the murder of Mrs Maguire.
Riley left court saying nothing, with his grey tracksuit top pulled over his head.
A 100m long shrine of floral tributes now connects the church with the school gates.
Mrs Maguire died after she was attacked during a Spanish lesson at the school where she had taught for more than 40 years.
A 42 year old man has admitted posting abusive Twitter messages about the murder of school teacher Ann Maguire.
Jake Newsome, 21, from the Harehills area of Leeds, was released on bail after being charged for the alleged abuse, officers said.
The killing is thought to be the first time a teacher has been stabbed to death in a British classroom and the first murder of a teacher in a school since the 1996 Dunblane massacre.
"The family of the young man involved also have been consoled in their great distress by the messages of love they have received."
The defendant sat in the dock with a woman security officer, wearing his track suit top over a grey Prada Ipad Case T shirt and blue jogging bottoms.
Deacon Sean Quigley included the family of the 15 year old boy charged with murdering the 61 year old in his homily at Corpus Christi Church in Leeds which is attached to the school.
She said the offence had come to the attention of West Yorkshire Police because of this connection but told the bench that it should properly have been charged in South Wales.
Ms White said the magistrates in Swansea would also be in a position to deal with Riley's existing community order. No details of this order were given in court today.
Man admits abusive messages charge From Bradford Telegraph and Argus
He is due to appear before Leeds Magistrates' Court on Wednesday May 14.
Riley was given bail on condition that he does not use social networking sites and the internet generally between now and his appearance on Thursday.
Robert Riley, from Port Talbot, South Wales, appeared before magistrates in Leeds today where he admitted sending a message of a grossly offensive, abusive or malicious character.
She was due to retire in September.
The magistrates were told that Riley needed to be sentenced where the messages were sent and agreed to transfer the case to Swansea Magistrates' Court.
The messages were not read out in court but the bench heard that some of them related to the murder of Mrs Maguire, 61, at Corpus Christi Catholic College in Leeds a week ago.
Later today, past and present pupils from Corpus Christi are expected to gather on the field opposite the school to remember Mrs Maguire and mark a week since Prada Wristlet Purse
Riley is the second person to be charged with sending a "malicious communication" in the wake of the death of Mrs Maguire who was stabbed to death in her classroom.
in Leeds for those who want to express their sympathies.
He suggested that Riley may be in more danger in a Leeds prison than Prada Sunglasses Women
During the 10 minute hearing his solicitor Michael Walsh said: "He is mortified by his own behaviour and he apologises for any upset that may have been caused to everybody."
Riley, of Dan Y Coed, Cwmavon, Port Talbot, was given conditional bail.
A book of condolence has also been opened at the cathedral Prada Tote Bag Nylon Price
Yesterday, prayers were said for Mrs Maguire and her family.
he would be walking the streets.
Mr Walsh asked the magistrates to free his client on bail, telling them the only reason he had been held overnight was for his own safety.
Mr Quigley, a retired teacher at the college who knows the Maguire family, told the congregation: "The school, staff and pupils have been consoled by messages from around the world and by many gifts of flowers, and also of food and books.
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